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4425845904 = 2432294312459
BaseRepresentation
bin1000001111100110…
…10000110010010000
3102102110000021012200
410013303100302100
533031004032104
62011101123200
7214451032554
oct40763206220
912373007180
104425845904
111971302597
12a36259500
13556c1223c
142ddb25864
151ad841b39
hex107cd0c90

4425845904 has 120 divisors (see below), whose sum is σ = 12848284800. Its totient is φ = 1420527360.

The previous prime is 4425845887. The next prime is 4425845923. The reversal of 4425845904 is 4095485244.

It is a happy number.

4425845904 is a `hidden beast` number, since 4 + 4 + 2 + 58 + 4 + 590 + 4 = 666.

It is a super-2 number, since 2×44258459042 = 39176223931907154432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4425845904.

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, 1798627 + ... + 1801085.

It is an arithmetic number, because the mean of its divisors is an integer number (107069040).

Almost surely, 24425845904 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 4425845904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6424142400).

4425845904 is an abundant number, since it is smaller than the sum of its proper divisors (8422438896).

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

4425845904 is a wasteful number, since it uses less digits than its factorization.

4425845904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 4425845904 is about 66527.0313782300. The cubic root of 4425845904 is about 1641.8447791404.

Subtracting from 4425845904 its reverse (4095485244), we obtain a triangular number (330360660 = T25704).

The spelling of 4425845904 in words is "four billion, four hundred twenty-five million, eight hundred forty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 431 464 522 696 862 1044 1293 1392 1724 2088 2459 2586 3448 3879 4176 4918 5172 6896 7377 7758 9836 10344 12499 14754 15516 19672 20688 22131 24998 29508 31032 37497 39344 44262 49996 59016 62064 71311 74994 88524 99992 112491 118032 142622 149988 177048 199984 213933 224982 285244 299976 354096 427866 449964 570488 599952 641799 855732 899928 1059829 1140976 1283598 1711464 1799856 2119658 2567196 3179487 3422928 4239316 5134392 6358974 8478632 9538461 10268784 12717948 16957264 19076922 25435896 30735041 38153844 50871792 61470082 76307688 92205123 122940164 152615376 184410246 245880328 276615369 368820492 491760656 553230738 737640984 1106461476 1475281968 2212922952 4425845904