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84990976 = 210771167
BaseRepresentation
bin1010001000011…
…01110000000000
312220220222200221
411010031300000
5133224202401
612233352424
72051261050
oct504156000
9186828627
1084990976
1143a7aa84
1224568714
13147ba025
14b405560
1576dc7a1
hex510dc00

84990976 has 88 divisors (see below), whose sum is σ = 198084096. Its totient is φ = 35696640.

The previous prime is 84990953. The next prime is 84990977. The reversal of 84990976 is 67909948.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84990977) 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, 508845 + ... + 509011.

Almost surely, 284990976 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 84990976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99042048).

84990976 is an abundant number, since it is smaller than the sum of its proper divisors (113093120).

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

84990976 is a wasteful number, since it uses less digits than its factorization.

84990976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 52.

The square root of 84990976 is about 9219.0550491902. The cubic root of 84990976 is about 439.6674070609.

The spelling of 84990976 in words is "eighty-four million, nine hundred ninety thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 128 142 167 224 256 284 334 448 497 512 568 668 896 994 1024 1136 1169 1336 1792 1988 2272 2338 2672 3584 3976 4544 4676 5344 7168 7952 9088 9352 10688 11857 15904 18176 18704 21376 23714 31808 36352 37408 42752 47428 63616 72704 74816 82999 85504 94856 127232 149632 165998 171008 189712 254464 299264 331996 379424 508928 598528 663992 758848 1197056 1327984 1517696 2655968 3035392 5311936 6070784 10623872 12141568 21247744 42495488 84990976