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93141888 = 273734651
BaseRepresentation
bin1011000110100…
…11101110000000
320111021002122120
411203103232000
5142321020023
613124204240
72210456460
oct543235600
9214232576
1093141888
1148637974
1227239680
13163b2058
14c527ba0
15829c8e3
hex58d3b80

93141888 has 64 divisors (see below), whose sum is σ = 282760320. Its totient is φ = 26611200.

The previous prime is 93141877. The next prime is 93141889. The reversal of 93141888 is 88814139.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×931418882 = 17350822600409088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93141889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14638 + ... + 20013.

It is an arithmetic number, because the mean of its divisors is an integer number (4418130).

Almost surely, 293141888 is an apocalyptic number.

It is an amenable number.

93141888 is an abundant number, since it is smaller than the sum of its proper divisors (189618432).

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

93141888 is a wasteful number, since it uses less digits than its factorization.

93141888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34675 (or 34663 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The square root of 93141888 is about 9651.0045073039. The cubic root of 93141888 is about 453.2957831258.

The spelling of 93141888 in words is "ninety-three million, one hundred forty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 34651 69302 103953 138604 207906 242557 277208 415812 485114 554416 727671 831624 970228 1108832 1455342 1663248 1940456 2217664 2910684 3326496 3880912 4435328 5821368 6652992 7761824 11642736 13305984 15523648 23285472 31047296 46570944 93141888