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93689664 = 2633131559
BaseRepresentation
bin1011001010110…
…01011101000000
320112021221001120
411211121131000
5142441032124
613144032240
72215230465
oct545313500
9215257046
1093689664
1148981482
1227462680
1316544493
14c62b66c
158359d79
hex5959740

93689664 has 56 divisors (see below), whose sum is σ = 248838720. Its totient is φ = 31110144.

The previous prime is 93689663. The next prime is 93689671. The reversal of 93689664 is 46698639.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93689663) 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, 59317 + ... + 60875.

Almost surely, 293689664 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 93689664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124419360).

93689664 is an abundant number, since it is smaller than the sum of its proper divisors (155149056).

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

93689664 is a wasteful number, since it uses less digits than its factorization.

93689664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887 (or 1877 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 51.

The square root of 93689664 is about 9679.3421264051. The cubic root of 93689664 is about 454.1826714819.

Subtracting from 93689664 its reverse (46698639), we obtain a square (46991025 = 68552).

The spelling of 93689664 in words is "ninety-three million, six hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 313 626 939 1252 1559 1878 2504 3118 3756 4677 5008 6236 7512 9354 10016 12472 15024 18708 20032 24944 30048 37416 49888 60096 74832 99776 149664 299328 487967 975934 1463901 1951868 2927802 3903736 5855604 7807472 11711208 15614944 23422416 31229888 46844832 93689664