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93420032 = 291710733
BaseRepresentation
bin1011001000101…
…11101000000000
320111210020012012
411210113220000
5142403420112
613134152052
72213025416
oct544275000
9214706165
1093420032
1148807942
1227352628
131647b834
14c59b2b6
158305022
hex5917a00

93420032 has 40 divisors (see below), whose sum is σ = 197655876. Its totient is φ = 43958272.

The previous prime is 93420031. The next prime is 93420053. The reversal of 93420032 is 23002439.

It can be written as a sum of positive squares in 2 ways, for example, as 92467456 + 952576 = 9616^2 + 976^2 .

It is not an unprimeable number, because it can be changed into a prime (93420031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3338 + ... + 14070.

Almost surely, 293420032 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 93420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98827938).

93420032 is an abundant number, since it is smaller than the sum of its proper divisors (104235844).

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

93420032 is a wasteful number, since it uses less digits than its factorization.

93420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10768 (or 10752 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 93420032 is about 9665.4038715410. The cubic root of 93420032 is about 453.7465513377.

The spelling of 93420032 in words is "ninety-three million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 2176 4352 8704 10733 21466 42932 85864 171728 182461 343456 364922 686912 729844 1373824 1459688 2747648 2919376 5495296 5838752 11677504 23355008 46710016 93420032