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93869056 = 210292109
BaseRepresentation
bin1011001100001…
…01010000000000
320112122001010201
411212011100000
5143012302211
613151534544
72216605501
oct546052000
9215561121
1093869056
1148a94236
122752a454
13165a8028
14c676ba8
1583930c1
hex5985400

93869056 has 66 divisors (see below), whose sum is σ = 196123070. Its totient is φ = 44900352.

The previous prime is 93869033. The next prime is 93869071. The reversal of 93869056 is 65096839.

It can be written as a sum of positive squares in 3 ways, for example, as 23040000 + 70829056 = 4800^2 + 8416^2 .

It is a super-2 number, since 2×938690562 = 17622799348662272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 93868997 and 93869015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 861130 + ... + 861238.

Almost surely, 293869056 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 93869056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98061535).

93869056 is an abundant number, since it is smaller than the sum of its proper divisors (102254014).

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

93869056 is a wasteful number, since it uses less digits than its factorization.

93869056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The square root of 93869056 is about 9688.6044402690. The cubic root of 93869056 is about 454.4723682927.

The spelling of 93869056 in words is "ninety-three million, eight hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 109 116 128 218 232 256 436 464 512 841 872 928 1024 1682 1744 1856 3161 3364 3488 3712 6322 6728 6976 7424 12644 13456 13952 14848 25288 26912 27904 29696 50576 53824 55808 91669 101152 107648 111616 183338 202304 215296 366676 404608 430592 733352 809216 861184 1466704 1618432 2933408 3236864 5866816 11733632 23467264 46934528 93869056