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93995052 = 223191732383
BaseRepresentation
bin1011001101001…
…00000000101100
320112212102222020
411212210000230
5143030320202
613154350140
72220642024
oct546440054
9215772866
1093995052
114906a968
122758b350
1316620498
14c6aaa84
1583ba5bc
hex59a402c

93995052 has 48 divisors (see below), whose sum is σ = 232296960. Its totient is φ = 29498688.

The previous prime is 93995047. The next prime is 93995081. The reversal of 93995052 is 25059939.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 93994995 and 93995013.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38253 + ... + 40635.

It is an arithmetic number, because the mean of its divisors is an integer number (4839520).

Almost surely, 293995052 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 93995052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116148480).

93995052 is an abundant number, since it is smaller than the sum of its proper divisors (138301908).

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

93995052 is a wasteful number, since it uses less digits than its factorization.

93995052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 109350, while the sum is 42.

The square root of 93995052 is about 9695.1045378583. The cubic root of 93995052 is about 454.6756163142.

The spelling of 93995052 in words is "ninety-three million, nine hundred ninety-five thousand, fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 173 228 346 519 692 1038 2076 2383 3287 4766 6574 7149 9532 9861 13148 14298 19722 28596 39444 45277 90554 135831 181108 271662 412259 543324 824518 1236777 1649036 2473554 4947108 7832921 15665842 23498763 31331684 46997526 93995052