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4041659904 = 29312292141
BaseRepresentation
bin1111000011100110…
…1101011000000000
3101102200002121002120
43300321231120000
531234131104104
61505014444240
7202104354012
oct36071553000
911380077076
104041659904
1117944589a7
12949663680
134c5449949
142a4aba1b2
15189c53cd9
hexf0e6d600

4041659904 has 80 divisors (see below), whose sum is σ = 10781028720. Its totient is φ = 1345495040.

The previous prime is 4041659903. The next prime is 4041659933. The reversal of 4041659904 is 4099561404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4041659903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1886674 + ... + 1888814.

It is an arithmetic number, because the mean of its divisors is an integer number (134762859).

Almost surely, 24041659904 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 4041659904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5390514360).

4041659904 is an abundant number, since it is smaller than the sum of its proper divisors (6739368816).

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

4041659904 is a wasteful number, since it uses less digits than its factorization.

4041659904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3391 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 4041659904 is about 63574.0505552383. The cubic root of 4041659904 is about 1592.8929445101.

The spelling of 4041659904 in words is "four billion, forty-one million, six hundred fifty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1229 1536 2141 2458 3687 4282 4916 6423 7374 8564 9832 12846 14748 17128 19664 25692 29496 34256 39328 51384 58992 68512 78656 102768 117984 137024 157312 205536 235968 274048 314624 411072 471936 548096 629248 822144 943872 1096192 1644288 1887744 2631289 3288576 5262578 7893867 10525156 15787734 21050312 31575468 42100624 63150936 84201248 126301872 168402496 252603744 336804992 505207488 673609984 1010414976 1347219968 2020829952 4041659904