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4957975824 = 243193125657
BaseRepresentation
bin1001001111000010…
…01011010100010000
3110210112022021020020
410213201023110100
540123220211244
62135550343440
7233602046004
oct44741132420
913715267206
104957975824
11211471468a
12b644bab80
13610236909
14350682704
151e0404d19
hex12784b510

4957975824 has 120 divisors (see below), whose sum is σ = 13933617120. Its totient is φ = 1514903040.

The previous prime is 4957975823. The next prime is 4957975877. The reversal of 4957975824 is 4285797594.

It is not an unprimeable number, because it can be changed into a prime (4957975823) by changing a digit.

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, 873604 + ... + 879260.

It is an arithmetic number, because the mean of its divisors is an integer number (116113476).

Almost surely, 24957975824 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 4957975824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6966808560).

4957975824 is an abundant number, since it is smaller than the sum of its proper divisors (8975641296).

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

4957975824 is a wasteful number, since it uses less digits than its factorization.

4957975824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5749 (or 5712 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 60.

The square root of 4957975824 is about 70412.8952962453. The cubic root of 4957975824 is about 1705.1717733274.

The spelling of 4957975824 in words is "four billion, nine hundred fifty-seven million, nine hundred seventy-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 372 456 496 589 744 912 961 1178 1488 1767 1922 2356 2883 3534 3844 4712 5657 5766 7068 7688 9424 11314 11532 14136 15376 16971 18259 22628 23064 28272 33942 36518 45256 46128 54777 67884 73036 90512 107483 109554 135768 146072 175367 214966 219108 271536 292144 322449 350734 429932 438216 526101 644898 701468 859864 876432 1052202 1289796 1402936 1719728 2104404 2579592 2805872 3331973 4208808 5159184 5436377 6663946 8417616 9995919 10872754 13327892 16309131 19991838 21745508 26655784 32618262 39983676 43491016 53311568 65236524 79967352 86982032 103291163 130473048 159934704 206582326 260946096 309873489 413164652 619746978 826329304 1239493956 1652658608 2478987912 4957975824