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472164147 = 3472139151
BaseRepresentation
bin11100001001001…
…010011100110011
31012220110102110000
4130021022130303
51431333223042
6114504041043
714462220600
oct3411123463
91186412400
10472164147
11222584a04
12112163183
1376a8a190
14469cb6a7
152b6ba74c
hex1c24a733

472164147 has 60 divisors (see below), whose sum is σ = 883698816. Its totient is φ = 249026400.

The previous prime is 472164127. The next prime is 472164151. The reversal of 472164147 is 741461274.

It is a happy number.

472164147 is a `hidden beast` number, since 4 + 7 + 2 + 1 + 641 + 4 + 7 = 666.

It is not a de Polignac number, because 472164147 - 26 = 472164083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472164107) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 47022 + ... + 56172.

Almost surely, 2472164147 is an apocalyptic number.

472164147 is a deficient number, since it is larger than the sum of its proper divisors (411534669).

472164147 is a wasteful number, since it uses less digits than its factorization.

472164147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9190 (or 9174 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 472164147 is about 21729.3383930574. The cubic root of 472164147 is about 778.6895302960.

The spelling of 472164147 in words is "four hundred seventy-two million, one hundred sixty-four thousand, one hundred forty-seven".

Divisors: 1 3 7 9 13 21 27 39 49 63 81 91 117 147 189 273 351 441 567 637 819 1053 1323 1911 2457 3969 5733 7371 9151 17199 27453 51597 64057 82359 118963 192171 247077 356889 448399 576513 741231 832741 1070667 1345197 1729539 2498223 3212001 4035591 5188617 5829187 7494669 9636003 12106773 17487561 22484007 36320319 52462683 67452021 157388049 472164147