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4004266496 = 29172232063
BaseRepresentation
bin1110111010101100…
…0100001000000000
3101100001201210222112
43232223010020000
531200043011441
61501201154452
7201141463226
oct35653041000
911301653875
104004266496
11177533875a
1293902ba28
134ba786679
1429db44b16
151868194eb
hexeeac4200

4004266496 has 80 divisors (see below), whose sum is σ = 8513455104. Its totient is φ = 1875001344.

The previous prime is 4004266459. The next prime is 4004266499. The reversal of 4004266496 is 6946624004.

It is not an unprimeable number, because it can be changed into a prime (4004266499) 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, 1939961 + ... + 1942023.

Almost surely, 24004266496 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 4004266496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4256727552).

4004266496 is an abundant number, since it is smaller than the sum of its proper divisors (4509188608).

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

4004266496 is a wasteful number, since it uses less digits than its factorization.

4004266496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The square root of 4004266496 is about 63279.2738264276. The cubic root of 4004266496 is about 1587.9652381108.

The spelling of 4004266496 in words is "four billion, four million, two hundred sixty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 223 256 272 446 512 544 892 1088 1784 2063 2176 3568 3791 4126 4352 7136 7582 8252 8704 14272 15164 16504 28544 30328 33008 35071 57088 60656 66016 70142 114176 121312 132032 140284 242624 264064 280568 460049 485248 528128 561136 920098 970496 1056256 1122272 1840196 1940992 2244544 3680392 4489088 7360784 7820833 8978176 14721568 15641666 17956352 29443136 31283332 58886272 62566664 117772544 125133328 235545088 250266656 500533312 1001066624 2002133248 4004266496