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147399648 = 25311971439
BaseRepresentation
bin10001100100100…
…10001111100000
3101021100200022020
420302102033200
5300213242043
622343141440
73436606404
oct1062221740
9337320266
10147399648
11762265a0
1241444880
13246cb436
141580d104
15ce18e83
hex8c923e0

147399648 has 96 divisors (see below), whose sum is σ = 426746880. Its totient is φ = 44175360.

The previous prime is 147399647. The next prime is 147399671. The reversal of 147399648 is 846993741.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 147399648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147399643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101713 + ... + 103151.

It is an arithmetic number, because the mean of its divisors is an integer number (4445280).

Almost surely, 2147399648 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 147399648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213373440).

147399648 is an abundant number, since it is smaller than the sum of its proper divisors (279347232).

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

147399648 is a wasteful number, since it uses less digits than its factorization.

147399648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1552 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 147399648 is about 12140.8256720867. The cubic root of 147399648 is about 528.2410515505.

The spelling of 147399648 in words is "one hundred forty-seven million, three hundred ninety-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 97 132 176 194 264 291 352 388 528 582 776 1056 1067 1164 1439 1552 2134 2328 2878 3104 3201 4268 4317 4656 5756 6402 8536 8634 9312 11512 12804 15829 17072 17268 23024 25608 31658 34144 34536 46048 47487 51216 63316 69072 94974 102432 126632 138144 139583 189948 253264 279166 379896 418749 506528 558332 759792 837498 1116664 1519584 1535413 1674996 2233328 3070826 3349992 4466656 4606239 6141652 6699984 9212478 12283304 13399968 18424956 24566608 36849912 49133216 73699824 147399648