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36379668 = 22313613823
BaseRepresentation
bin1000101011000…
…1110000010100
32112110021112010
42022301300110
533303122133
63335424220
7621136113
oct212616024
975407463
1036379668
1119598646
1210225070
1376c9a40
144b8dc7a
1532d9263
hex22b1c14

36379668 has 48 divisors (see below), whose sum is σ = 92938496. Its totient is φ = 11007360.

The previous prime is 36379667. The next prime is 36379687. The reversal of 36379668 is 86697363.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36379667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7605 + ... + 11427.

Almost surely, 236379668 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 36379668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46469248).

36379668 is an abundant number, since it is smaller than the sum of its proper divisors (56558828).

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

36379668 is a wasteful number, since it uses less digits than its factorization.

36379668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3904 (or 3902 counting only the distinct ones).

The product of its digits is 979776, while the sum is 48.

The square root of 36379668 is about 6031.5560181432. The cubic root of 36379668 is about 331.3494421746.

The spelling of 36379668 in words is "thirty-six million, three hundred seventy-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 122 156 183 244 366 732 793 1586 2379 3172 3823 4758 7646 9516 11469 15292 22938 45876 49699 99398 149097 198796 233203 298194 466406 596388 699609 932812 1399218 2798436 3031639 6063278 9094917 12126556 18189834 36379668