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146472066 = 232131494201
BaseRepresentation
bin10001011101011…
…11110010000010
3101012121112220100
420232233302002
5244444101231
622311223230
73425664156
oct1056576202
9335545810
10146472066
11757526a4
1241077b16
1324465180
141564b066
15ccd41e6
hex8bafc82

146472066 has 48 divisors (see below), whose sum is σ = 344143800. Its totient is φ = 44755200.

The previous prime is 146472023. The next prime is 146472089. The reversal of 146472066 is 660274641.

146472066 is a `hidden beast` number, since 1 + 4 + 647 + 2 + 0 + 6 + 6 = 666.

146472066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 32729841 + 113742225 = 5721^2 + 10665^2 .

It is a super-2 number, since 2×1464720662 = 42908132236616712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 146472066.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32766 + ... + 36966.

Almost surely, 2146472066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146472066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172071900).

146472066 is an abundant number, since it is smaller than the sum of its proper divisors (197671734).

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

146472066 is a wasteful number, since it uses less digits than its factorization.

146472066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4371 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 146472066 is about 12102.5644389939. The cubic root of 146472066 is about 527.1306501553.

The spelling of 146472066 in words is "one hundred forty-six million, four hundred seventy-two thousand, sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 149 234 298 447 894 1341 1937 2682 3874 4201 5811 8402 11622 12603 17433 25206 34866 37809 54613 75618 109226 163839 327678 491517 625949 983034 1251898 1877847 3755694 5633541 8137337 11267082 16274674 24412011 48824022 73236033 146472066