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5174792928 = 2532171676329
BaseRepresentation
bin1001101000111000…
…10001001011100000
3111100122021201101100
410310130101023200
541044221333203
62213253434400
7242144004564
oct46434211340
914318251340
105174792928
112216043578
12100503ba00
1364612b666
143713a16a4
15204481ea3
hex1347112e0

5174792928 has 144 divisors (see below), whose sum is σ = 15677232480. Its totient is φ = 1613488128.

The previous prime is 5174792881. The next prime is 5174792933. The reversal of 5174792928 is 8292974715.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 814468 + ... + 820796.

It is an arithmetic number, because the mean of its divisors is an integer number (108869670).

Almost surely, 25174792928 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 5174792928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7838616240).

5174792928 is an abundant number, since it is smaller than the sum of its proper divisors (10502439552).

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

5174792928 is a wasteful number, since it uses less digits than its factorization.

5174792928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6529 (or 6518 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 5174792928 is about 71936.0335854014. The cubic root of 5174792928 is about 1729.6742710391.

The spelling of 5174792928 in words is "five billion, one hundred seventy-four million, seven hundred ninety-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 167 204 272 288 306 334 408 501 544 612 668 816 1002 1224 1336 1503 1632 2004 2448 2672 2839 3006 4008 4896 5344 5678 6012 6329 8016 8517 11356 12024 12658 16032 17034 18987 22712 24048 25316 25551 34068 37974 45424 48096 50632 51102 56961 68136 75948 90848 101264 102204 107593 113922 136272 151896 202528 204408 215186 227844 272544 303792 322779 408816 430372 455688 607584 645558 817632 860744 911376 968337 1056943 1291116 1721488 1822752 1936674 2113886 2582232 3170829 3442976 3873348 4227772 5164464 6341658 7746696 8455544 9512487 10328928 12683316 15493392 16911088 17968031 19024974 25366632 30986784 33822176 35936062 38049948 50733264 53904093 71872124 76099896 101466528 107808186 143744248 152199792 161712279 215616372 287488496 304399584 323424558 431232744 574976992 646849116 862465488 1293698232 1724930976 2587396464 5174792928