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4045794624 = 26323127309
BaseRepresentation
bin1111000100100101…
…1110110101000000
3101102221212122212100
43301021132311000
531241210411444
61505243230400
7202154454414
oct36111366500
911387778770
104045794624
111796822423
1294ab18400
134c6266921
142a5474d44
1518a2bde69
hexf125ed40

4045794624 has 126 divisors (see below), whose sum is σ = 11984328330. Its totient is φ = 1304916480.

The previous prime is 4045794617. The next prime is 4045794653. The reversal of 4045794624 is 4264975404.

It can be written as a sum of positive squares in only one way, i.e., 3367713024 + 678081600 = 58032^2 + 26040^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4045794624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 549882 + ... + 557190.

Almost surely, 24045794624 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 4045794624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5992164165).

4045794624 is an abundant number, since it is smaller than the sum of its proper divisors (7938533706).

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

4045794624 is a wasteful number, since it uses less digits than its factorization.

4045794624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7389 (or 7345 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 4045794624 is about 63606.5611709987. The cubic root of 4045794624 is about 1593.4359492664.

The spelling of 4045794624 in words is "four billion, forty-five million, seven hundred ninety-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 961 992 1116 1488 1922 1984 2232 2883 2976 3844 4464 5766 5952 7309 7688 8649 8928 11532 14618 15376 17298 17856 21927 23064 29236 30752 34596 43854 46128 58472 61504 65781 69192 87708 92256 116944 131562 138384 175416 184512 226579 233888 263124 276768 350832 453158 467776 526248 553536 679737 701664 906316 1052496 1359474 1403328 1812632 2039211 2104992 2718948 3625264 4078422 4209984 5437896 7023949 7250528 8156844 10875792 14047898 14501056 16313688 21071847 21751584 28095796 32627376 42143694 43503168 56191592 63215541 65254752 84287388 112383184 126431082 130509504 168574776 224766368 252862164 337149552 449532736 505724328 674299104 1011448656 1348598208 2022897312 4045794624