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990516408 = 23375895931
BaseRepresentation
bin111011000010100…
…001010010111000
32120000211110001220
4323002201102320
54012033011113
6242142112040
733355151640
oct7302412270
92500743056
10990516408
11469136702
1223787b620
1312a2996ab
149579d520
155be5b523
hex3b0a14b8

990516408 has 32 divisors (see below), whose sum is σ = 2830047360. Its totient is φ = 283004640.

The previous prime is 990516391. The next prime is 990516437. The reversal of 990516408 is 804615099.

It is a super-2 number, since 2×9905164082 = 1962245509034444928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 990516408.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2947798 + ... + 2948133.

It is an arithmetic number, because the mean of its divisors is an integer number (88438980).

Almost surely, 2990516408 is an apocalyptic number.

It is an amenable number.

990516408 is an abundant number, since it is smaller than the sum of its proper divisors (1839530952).

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

990516408 is a wasteful number, since it uses less digits than its factorization.

990516408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5895947 (or 5895943 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 990516408 is about 31472.4706370504. The cubic root of 990516408 is about 996.8287565122.

The spelling of 990516408 in words is "nine hundred ninety million, five hundred sixteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 5895931 11791862 17687793 23583724 35375586 41271517 47167448 70751172 82543034 123814551 141502344 165086068 247629102 330172136 495258204 990516408