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745144752 = 243112276217
BaseRepresentation
bin101100011010100…
…000000110110000
31220221010021102210
4230122200012300
53011224113002
6201535012120
724315424452
oct5432400660
91827107383
10745144752
11352684310
1218966a040
13bb4b7871
1470d6a2d2
154563d96c
hex2c6a01b0

745144752 has 80 divisors (see below), whose sum is σ = 2109543552. Its totient is φ = 224770560.

The previous prime is 745144747. The next prime is 745144759. The reversal of 745144752 is 257441547.

It is a self number, because there is not a number n which added to its sum of digits gives 745144752.

It is not an unprimeable number, because it can be changed into a prime (745144759) 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 15 ways as a sum of consecutive naturals, for example, 116748 + ... + 122964.

Almost surely, 2745144752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 745144752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054771776).

745144752 is an abundant number, since it is smaller than the sum of its proper divisors (1364398800).

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

745144752 is a wasteful number, since it uses less digits than its factorization.

745144752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6466 (or 6460 counting only the distinct ones).

The product of its digits is 156800, while the sum is 39.

The square root of 745144752 is about 27297.3396505960. The cubic root of 745144752 is about 906.5954790802.

The spelling of 745144752 in words is "seven hundred forty-five million, one hundred forty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 227 264 454 528 681 908 1362 1816 2497 2724 3632 4994 5448 6217 7491 9988 10896 12434 14982 18651 19976 24868 29964 37302 39952 49736 59928 68387 74604 99472 119856 136774 149208 205161 273548 298416 410322 547096 820644 1094192 1411259 1641288 2822518 3282576 4233777 5645036 8467554 11290072 15523849 16935108 22580144 31047698 33870216 46571547 62095396 67740432 93143094 124190792 186286188 248381584 372572376 745144752