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40947201 = 38792
BaseRepresentation
bin1001110000110…
…0111000000001
32212001100000000
42130030320001
540440302301
64021350213
71005021411
oct234147001
985040000
1040947201
1121128269
1211868369
138638a19
14561c641
1538dc786
hex270ce01

40947201 has 27 divisors (see below), whose sum is σ = 62204961. Its totient is φ = 26952588.

The previous prime is 40947167. The next prime is 40947227. The reversal of 40947201 is 10274904.

It is a happy number.

The square root of 40947201 is 6399.

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

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 40947201 - 211 = 40945153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40942201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 518280 + ... + 518358.

Almost surely, 240947201 is an apocalyptic number.

40947201 is the 6399-th square number.

40947201 is the 3200-th centered octagonal number.

It is an amenable number.

40947201 is a deficient number, since it is larger than the sum of its proper divisors (21257760).

40947201 is an frugal number, since it uses more digits than its factorization.

40947201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The cubic root of 40947201 is about 344.6736422251.

The spelling of 40947201 in words is "forty million, nine hundred forty-seven thousand, two hundred one".

Divisors: 1 3 9 27 79 81 237 243 711 729 2133 2187 6241 6399 6561 18723 19197 56169 57591 168507 172773 505521 518319 1516563 4549689 13649067 40947201