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84995904 = 263763241
BaseRepresentation
bin1010001000011…
…10111101000000
312220221020110110
411010032331000
5133224332104
612233431320
72051311320
oct504167500
9186836413
1084995904
1143a83754
122456b540
13147bc346
14b407280
1576dde89
hex510ef40

84995904 has 56 divisors (see below), whose sum is σ = 257015488. Its totient is φ = 24284160.

The previous prime is 84995899. The next prime is 84995917. The reversal of 84995904 is 40959948.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30277 + ... + 32964.

Almost surely, 284995904 is an apocalyptic number.

84995904 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

84995904 is an abundant number, since it is smaller than the sum of its proper divisors (172019584).

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

84995904 is a wasteful number, since it uses less digits than its factorization.

84995904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63263 (or 63253 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 84995904 is about 9219.3223178279. The cubic root of 84995904 is about 439.6759045869.

The spelling of 84995904 in words is "eighty-four million, nine hundred ninety-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 63241 126482 189723 252964 379446 442687 505928 758892 885374 1011856 1328061 1517784 1770748 2023712 2656122 3035568 3541496 4047424 5312244 6071136 7082992 10624488 12142272 14165984 21248976 28331968 42497952 84995904