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97892856 = 23328316381
BaseRepresentation
bin1011101010110…
…11100111111000
320211012110202100
411311123213320
5200030032411
613414103400
72266034625
oct565334770
9224173670
1097892856
1150292396
122894ab60
1317386689
14d00334c
1588da456
hex5d5b9f8

97892856 has 48 divisors (see below), whose sum is σ = 268337160. Its totient is φ = 32235840.

The previous prime is 97892849. The next prime is 97892887. The reversal of 97892856 is 65829879.

It is a happy number.

It is a super-2 number, since 2×978928562 = 19166022511673472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2215 + ... + 14166.

Almost surely, 297892856 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 97892856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134168580).

97892856 is an abundant number, since it is smaller than the sum of its proper divisors (170444304).

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

97892856 is a wasteful number, since it uses less digits than its factorization.

97892856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16476 (or 16469 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 97892856 is about 9894.0818674600. The cubic root of 97892856 is about 460.8755473285.

The spelling of 97892856 in words is "ninety-seven million, eight hundred ninety-two thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2988 5976 16381 32762 49143 65524 98286 131048 147429 196572 294858 393144 589716 1179432 1359623 2719246 4078869 5438492 8157738 10876984 12236607 16315476 24473214 32630952 48946428 97892856