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901981089 = 34472712
BaseRepresentation
bin110101110000110…
…010001110100001
32022212020101110000
4311300302032201
53321401343324
6225300330213
731231466322
oct6560621641
92285211400
10901981089
11423165819
122120a3969
13114b3b329
1487b14449
15542bd9c9
hex35c323a1

901981089 has 45 divisors (see below), whose sum is σ = 1396344961. Its totient is φ = 580237560.

The previous prime is 901981081. The next prime is 901981103. The reversal of 901981089 is 980189109.

The square root of 901981089 is 30033.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 901981089 - 23 = 901981081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (901981081) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12703924 + ... + 12703994.

Almost surely, 2901981089 is an apocalyptic number.

901981089 is the 30033-rd square number.

901981089 is the 15017-th centered octagonal number.

It is an amenable number.

901981089 is a deficient number, since it is larger than the sum of its proper divisors (494363872).

901981089 is an frugal number, since it uses more digits than its factorization.

901981089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 45.

The cubic root of 901981089 is about 966.1972804131.

Multiplying 901981089 by its product of nonzero digits (46656), we get a square (42082829688384 = 64871282).

The spelling of 901981089 in words is "nine hundred one million, nine hundred eighty-one thousand, eighty-nine".

Divisors: 1 3 9 27 47 71 81 141 213 423 639 1269 1917 2209 3337 3807 5041 5751 6627 10011 15123 19881 30033 45369 59643 90099 136107 156839 178929 236927 270297 408321 470517 710781 1411551 2132343 4234653 6397029 11135569 12703959 19191087 33406707 100220121 300660363 901981089