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2404172064 = 2537373013
BaseRepresentation
bin1000111101001100…
…1100000100100000
320012112212121001210
42033103030010200
514410432001224
61034321430120
7113402061000
oct21723140440
96175777053
102404172064
111024102068
1257119b340
132c4119928
1418b428000
15e10ec429
hex8f4cc120

2404172064 has 96 divisors (see below), whose sum is σ = 7359811200. Its totient is φ = 686896896.

The previous prime is 2404172039. The next prime is 2404172101. The reversal of 2404172064 is 4602714042.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3579 + ... + 69434.

It is an arithmetic number, because the mean of its divisors is an integer number (76664700).

Almost surely, 22404172064 is an apocalyptic number.

2404172064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2404172064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679905600).

2404172064 is an abundant number, since it is smaller than the sum of its proper divisors (4955639136).

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

2404172064 is an equidigital number, since it uses as much as digits as its factorization.

2404172064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73047 (or 73025 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 2404172064 is about 49032.3573163681. The cubic root of 2404172064 is about 1339.6412613609.

The spelling of 2404172064 in words is "two billion, four hundred four million, one hundred seventy-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 392 588 672 686 784 1029 1176 1372 1568 2058 2352 2744 4116 4704 5488 8232 10976 16464 32928 73013 146026 219039 292052 438078 511091 584104 876156 1022182 1168208 1533273 1752312 2044364 2336416 3066546 3504624 3577637 4088728 6133092 7009248 7155274 8177456 10732911 12266184 14310548 16354912 21465822 24532368 25043459 28621096 42931644 49064736 50086918 57242192 75130377 85863288 100173836 114484384 150260754 171726576 200347672 300521508 343453152 400695344 601043016 801390688 1202086032 2404172064