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368528901 = 31310193559
BaseRepresentation
bin10101111101110…
…100111000000101
3221200110012121120
4111331310320011
51223320411101
6100322504153
712063305166
oct2575647005
9850405546
10368528901
1117a030244
12a3505059
135b472b50
1436d3176d
1522548b36
hex15f74e05

368528901 has 16 divisors (see below), whose sum is σ = 534414720. Its totient is φ = 224539200.

The previous prime is 368528887. The next prime is 368528903. The reversal of 368528901 is 109825863.

It is not a de Polignac number, because 368528901 - 210 = 368527877 is a prime.

It is a super-3 number, since 3×3685289013 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368528903) 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, 42841 + ... + 50718.

It is an arithmetic number, because the mean of its divisors is an integer number (33400920).

Almost surely, 2368528901 is an apocalyptic number.

It is an amenable number.

368528901 is a deficient number, since it is larger than the sum of its proper divisors (165885819).

368528901 is a wasteful number, since it uses less digits than its factorization.

368528901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93676.

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 368528901 is about 19197.1065788571. The cubic root of 368528901 is about 716.9527210217.

It can be divided in two parts, 36852 and 8901, that added together give a triangular number (45753 = T302).

The spelling of 368528901 in words is "three hundred sixty-eight million, five hundred twenty-eight thousand, nine hundred one".

Divisors: 1 3 13 39 101 303 1313 3939 93559 280677 1216267 3648801 9449459 28348377 122842967 368528901