Search a number
-
+
147285864 = 23341120663
BaseRepresentation
bin10001100011101…
…10011101101000
3101021010220020000
420301312131220
5300201121424
622340503000
73435623565
oct1061663550
9337126200
10147285864
1176159060
12413aaa60
132468b6cb
14157bd86c
15cde53c9
hex8c76768

147285864 has 80 divisors (see below), whose sum is σ = 450061920. Its totient is φ = 44629920.

The previous prime is 147285857. The next prime is 147285871. The reversal of 147285864 is 468582741.

147285864 is a `hidden beast` number, since 1 + 47 + 28 + 586 + 4 = 666.

147285864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (147285857) and next prime (147285871).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3204 + ... + 17459.

It is an arithmetic number, because the mean of its divisors is an integer number (5625774).

Almost surely, 2147285864 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 147285864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225030960).

147285864 is an abundant number, since it is smaller than the sum of its proper divisors (302776056).

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

147285864 is a wasteful number, since it uses less digits than its factorization.

147285864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20692 (or 20679 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 147285864 is about 12136.1387599187. The cubic root of 147285864 is about 528.1050927174.

The spelling of 147285864 in words is "one hundred forty-seven million, two hundred eighty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 3564 7128 20663 41326 61989 82652 123978 165304 185967 227293 247956 371934 454586 495912 557901 681879 743868 909172 1115802 1363758 1487736 1673703 1818344 2045637 2231604 2727516 3347406 4091274 4463208 5455032 6136911 6694812 8182548 12273822 13389624 16365096 18410733 24547644 36821466 49095288 73642932 147285864