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5431025152 = 2972713049
BaseRepresentation
bin1010000111011011…
…01101111000000000
3112000111102122220201
411003231231320000
542110320301102
62254525414544
7251404644400
oct50355557000
915014378821
105431025152
112337743643
121076a0a454
13687243967
14397420800
1521bbe7987
hex143b6de00

5431025152 has 120 divisors (see below), whose sum is σ = 12805095600. Its totient is φ = 2294046720.

The previous prime is 5431025123. The next prime is 5431025183. The reversal of 5431025152 is 2515201345.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 5431025152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1779724 + ... + 1782772.

It is an arithmetic number, because the mean of its divisors is an integer number (106709130).

Almost surely, 25431025152 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 5431025152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6402547800).

5431025152 is an abundant number, since it is smaller than the sum of its proper divisors (7374070448).

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

5431025152 is an equidigital number, since it uses as much as digits as its factorization.

5431025152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 5431025152 is about 73695.4893599330. The cubic root of 5431025152 is about 1757.7641581133.

Adding to 5431025152 its reverse (2515201345), we get a palindrome (7946226497).

The spelling of 5431025152 in words is "five billion, four hundred thirty-one million, twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 71 98 112 128 142 196 224 256 284 392 448 497 512 568 784 896 994 1136 1568 1792 1988 2272 3049 3136 3479 3584 3976 4544 6098 6272 6958 7952 9088 12196 12544 13916 15904 18176 21343 24392 25088 27832 31808 36352 42686 48784 55664 63616 85372 97568 111328 127232 149401 170744 195136 216479 222656 254464 298802 341488 390272 432958 445312 597604 682976 780544 865916 890624 1195208 1365952 1515353 1561088 1731832 1781248 2390416 2731904 3030706 3463664 4780832 5463808 6061412 6927328 9561664 10607471 10927616 12122824 13854656 19123328 21214942 24245648 27709312 38246656 42429884 48491296 55418624 76493312 84859768 96982592 110837248 169719536 193965184 339439072 387930368 678878144 775860736 1357756288 2715512576 5431025152