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4752230928 = 2432329151983
BaseRepresentation
bin1000110110100000…
…10100101000010000
3110021012011100021220
410123100110220100
534213032342203
62103320445040
7225523203444
oct43320245020
913235140256
104752230928
112019568485
12b07619780
135a971a783
14331206824
151cc313653
hex11b414a10

4752230928 has 160 divisors (see below), whose sum is σ = 13353431040. Its totient is φ = 1451788800.

The previous prime is 4752230927. The next prime is 4752230969. The reversal of 4752230928 is 8290322574.

It is a self number, because there is not a number n which added to its sum of digits gives 4752230928.

It is not an unprimeable number, because it can be changed into a prime (4752230927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4833925 + ... + 4834907.

It is an arithmetic number, because the mean of its divisors is an integer number (83458944).

Almost surely, 24752230928 is an apocalyptic number.

4752230928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4752230928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6676715520).

4752230928 is an abundant number, since it is smaller than the sum of its proper divisors (8601200112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4752230928 is a wasteful number, since it uses less digits than its factorization.

4752230928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 4752230928 is about 68936.4267133132. The cubic root of 4752230928 is about 1681.2508315101.

The spelling of 4752230928 in words is "four billion, seven hundred fifty-two million, two hundred thirty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 46 48 58 69 87 92 116 138 151 174 184 232 276 302 348 368 453 464 552 604 667 696 906 983 1104 1208 1334 1392 1812 1966 2001 2416 2668 2949 3473 3624 3932 4002 4379 5336 5898 6946 7248 7864 8004 8758 10419 10672 11796 13137 13892 15728 16008 17516 20838 22609 23592 26274 27784 28507 32016 35032 41676 45218 47184 52548 55568 57014 67827 70064 83352 85521 90436 100717 105096 114028 135654 148433 166704 171042 180872 201434 210192 228056 271308 296866 302151 342084 361744 402868 445299 456112 542616 593732 604302 655661 684168 805736 890598 1085232 1187464 1208604 1311322 1368336 1611472 1781196 1966983 2374928 2417208 2622644 3413959 3562392 3933966 4304557 4834416 5245288 6827918 7124784 7867932 8609114 10241877 10490576 12913671 13655836 15735864 17218228 20483754 25827342 27311672 31471728 34436456 40967508 51654684 54623344 68872912 81935016 99004811 103309368 163870032 198009622 206618736 297014433 396019244 594028866 792038488 1188057732 1584076976 2376115464 4752230928