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147472146 = 232311272081
BaseRepresentation
bin10001100101000…
…11111100010010
3101021111100202100
420302203330102
5300223102041
622344501230
73440330643
oct1062437422
9337440670
10147472146
1176276008
124147a816
1324725433
141582b6ca
15ce306b6
hex8ca3f12

147472146 has 48 divisors (see below), whose sum is σ = 332587008. Its totient is φ = 47174400.

The previous prime is 147472133. The next prime is 147472147. The reversal of 147472146 is 641274741.

147472146 = T1460 + T1461 + ... + T1586.

It is a happy number.

147472146 is a `hidden beast` number, since 1 + 47 + 472 + 146 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 147472146.

It is not an unprimeable number, because it can be changed into a prime (147472147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69826 + ... + 71906.

It is an arithmetic number, because the mean of its divisors is an integer number (6928896).

Almost surely, 2147472146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147472146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166293504).

147472146 is an abundant number, since it is smaller than the sum of its proper divisors (185114862).

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

147472146 is a wasteful number, since it uses less digits than its factorization.

147472146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2244 counting only the distinct ones).

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

The square root of 147472146 is about 12143.8110163161. The cubic root of 147472146 is about 528.3276418586.

The spelling of 147472146 in words is "one hundred forty-seven million, four hundred seventy-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 31 62 93 127 186 254 279 381 558 762 1143 2081 2286 3937 4162 6243 7874 11811 12486 18729 23622 35433 37458 64511 70866 129022 193533 264287 387066 528574 580599 792861 1161198 1585722 2378583 4757166 8192897 16385794 24578691 49157382 73736073 147472146