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4932191472 = 24313291911427
BaseRepresentation
bin1001001011111101…
…10100010011110000
3110201201210021202020
410211332310103300
540100120111342
62133225551440
7233136635655
oct44576642360
913651707666
104932191472
1121011034aa
12b57945580
13607aa96c0
1434b08dc2c
151dd0100ec
hex125fb44f0

4932191472 has 160 divisors (see below), whose sum is σ = 14279086080. Its totient is φ = 1456573440.

The previous prime is 4932191447. The next prime is 4932191477. The reversal of 4932191472 is 2741912394.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4932191477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3455623 + ... + 3457049.

It is an arithmetic number, because the mean of its divisors is an integer number (89244288).

Almost surely, 24932191472 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 4932191472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7139543040).

4932191472 is an abundant number, since it is smaller than the sum of its proper divisors (9346894608).

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

4932191472 is a wasteful number, since it uses less digits than its factorization.

4932191472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1665 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 4932191472 is about 70229.5626641659. The cubic root of 4932191472 is about 1702.2106732535.

The spelling of 4932191472 in words is "four billion, nine hundred thirty-two million, one hundred ninety-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 191 208 232 312 348 377 382 464 573 624 696 754 764 1131 1146 1392 1427 1508 1528 2262 2292 2483 2854 3016 3056 4281 4524 4584 4966 5539 5708 6032 7449 8562 9048 9168 9932 11078 11416 14898 16617 17124 18096 18551 19864 22156 22832 29796 33234 34248 37102 39728 41383 44312 55653 59592 66468 68496 72007 74204 82766 88624 111306 119184 124149 132936 144014 148408 165532 216021 222612 248298 265872 272557 288028 296816 331064 432042 445224 496596 537979 545114 576056 662128 817671 864084 890448 993192 1075958 1090228 1152112 1613937 1635342 1728168 1986384 2151916 2180456 3227874 3270684 3456336 3543241 4303832 4360912 6455748 6541368 7086482 7904153 8607664 10629723 12911496 13082736 14172964 15808306 21259446 23712459 25822992 28345928 31616612 42518892 47424918 56691856 63233224 85037784 94849836 102753989 126466448 170075568 189699672 205507978 308261967 379399344 411015956 616523934 822031912 1233047868 1644063824 2466095736 4932191472