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93488688 = 2433379571
BaseRepresentation
bin1011001001010…
…00011000110000
320111220201101000
411210220120300
5142413114223
613135442000
72213432526
oct544503060
9214821330
1093488688
1148854487
1227386300
13164a3b67
14c5b8316
15831a543
hex5928630

93488688 has 80 divisors (see below), whose sum is σ = 269526400. Its totient is φ = 31026240.

The previous prime is 93488623. The next prime is 93488693. The reversal of 93488688 is 88688439.

It is a super-2 number, since 2×934886882 = 17480269567922688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163443 + ... + 164013.

It is an arithmetic number, because the mean of its divisors is an integer number (3369080).

Almost surely, 293488688 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 93488688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134763200).

93488688 is an abundant number, since it is smaller than the sum of its proper divisors (176037712).

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

93488688 is a wasteful number, since it uses less digits than its factorization.

93488688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 955 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 93488688 is about 9668.9548556191. The cubic root of 93488688 is about 453.8576795193.

The spelling of 93488688 in words is "ninety-three million, four hundred eighty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 379 432 571 758 1137 1142 1516 1713 2274 2284 3032 3411 3426 4548 4568 5139 6064 6822 6852 9096 9136 10233 10278 13644 13704 15417 18192 20466 20556 27288 27408 30834 40932 41112 54576 61668 81864 82224 123336 163728 216409 246672 432818 649227 865636 1298454 1731272 1947681 2596908 3462544 3895362 5193816 5843043 7790724 10387632 11686086 15581448 23372172 31162896 46744344 93488688