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93530052 = 223471123163
BaseRepresentation
bin1011001001100…
…10011111000100
320111222211010000
411210302133010
5142420430202
613140401300
72213664240
oct544623704
9214884100
1093530052
1148882570
12273a6230
13164b9935
14c5c9420
15832791c
hex59327c4

93530052 has 240 divisors, whose sum is σ = 320044032. Its totient is φ = 23094720.

The previous prime is 93530023. The next prime is 93530053. The reversal of 93530052 is 25003539.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 93529998 and 93530025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93530053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 573723 + ... + 573885.

Almost surely, 293530052 is an apocalyptic number.

93530052 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93530052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160022016).

93530052 is an abundant number, since it is smaller than the sum of its proper divisors (226513980).

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

93530052 is a wasteful number, since it uses less digits than its factorization.

93530052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 93530052 is about 9671.0936299883. The cubic root of 93530052 is about 453.9246059799.

The spelling of 93530052 in words is "ninety-three million, five hundred thirty thousand, fifty-two".