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93920480 = 255619623
BaseRepresentation
bin1011001100100…
…01110011100000
320112201122200022
411212101303200
5143020423410
613153013012
72220211433
oct546216340
9215648608
1093920480
1149019935
1227554168
13165c5564
14c68b81a
1583a3455
hex5991ce0

93920480 has 48 divisors (see below), whose sum is σ = 225548064. Its totient is φ = 36948480.

The previous prime is 93920479. The next prime is 93920509. The reversal of 93920480 is 8402939.

It is a self number, because there is not a number n which added to its sum of digits gives 93920480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4949 + ... + 14571.

It is an arithmetic number, because the mean of its divisors is an integer number (4698918).

Almost surely, 293920480 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 93920480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112774032).

93920480 is an abundant number, since it is smaller than the sum of its proper divisors (131627584).

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

93920480 is a wasteful number, since it uses less digits than its factorization.

93920480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9699 (or 9691 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 93920480 is about 9691.2579162872. The cubic root of 93920480 is about 454.5553438818. Note that the first 3 decimals are identical.

The spelling of 93920480 in words is "ninety-three million, nine hundred twenty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4880 9623 9760 19246 38492 48115 76984 96230 153968 192460 307936 384920 587003 769840 1174006 1539680 2348012 2935015 4696024 5870030 9392048 11740060 18784096 23480120 46960240 93920480