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93839201 = 17314143101
BaseRepresentation
bin1011001011111…
…01111101100001
320112120112011222
411211331331201
5143010323301
613151144425
72216422451
oct545757541
9215515158
1093839201
1148a73865
1227515115
1316597571
14c669d61
15838931b
hex597df61

93839201 has 32 divisors (see below), whose sum is σ = 108573696. Its totient is φ = 80640000.

The previous prime is 93839191. The next prime is 93839227. The reversal of 93839201 is 10293839.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-93839201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (93839231) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 929051 + ... + 929151.

It is an arithmetic number, because the mean of its divisors is an integer number (3392928).

It is a Poulet number, since it divides 293839200-1.

Almost surely, 293839201 is an apocalyptic number.

It is an amenable number.

93839201 is a deficient number, since it is larger than the sum of its proper divisors (14734495).

93839201 is a wasteful number, since it uses less digits than its factorization.

93839201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233.

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 93839201 is about 9687.0635901701. The cubic root of 93839201 is about 454.4241816242.

The spelling of 93839201 in words is "ninety-three million, eight hundred thirty-nine thousand, two hundred one".

Divisors: 1 17 31 41 43 101 527 697 731 1271 1333 1717 1763 3131 4141 4343 21607 22661 29971 53227 54653 70397 73831 128371 134633 178063 929101 2182307 2288761 3027071 5519953 93839201