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148635656 = 2313792229
BaseRepresentation
bin10001101110000…
…00000000001000
3101100200110210022
420313000000020
5301022320111
622425440012
73453245051
oct1067000010
9340613708
10148635656
11769a0194
1241940008
1324a41bc0
1415a51728
15d0b02db
hex8dc0008

148635656 has 48 divisors (see below), whose sum is σ = 305304300. Its totient is φ = 67436928.

The previous prime is 148635631. The next prime is 148635659. The reversal of 148635656 is 656536841.

It can be written as a sum of positive squares in 2 ways, for example, as 148011556 + 624100 = 12166^2 + 790^2 .

It is not an unprimeable number, because it can be changed into a prime (148635659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 648950 + ... + 649178.

Almost surely, 2148635656 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 148635656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152652150).

148635656 is an abundant number, since it is smaller than the sum of its proper divisors (156668644).

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

148635656 is a wasteful number, since it uses less digits than its factorization.

148635656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 323 counting only the distinct ones).

The product of its digits is 518400, while the sum is 44.

The square root of 148635656 is about 12191.6223694798. The cubic root of 148635656 is about 529.7134513687.

The spelling of 148635656 in words is "one hundred forty-eight million, six hundred thirty-five thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 26 52 79 104 158 229 316 458 632 916 1027 1832 2054 2977 4108 5954 6241 8216 11908 12482 18091 23816 24964 36182 49928 72364 81133 144728 162266 235183 324532 470366 649064 940732 1429189 1881464 2858378 5716756 11433512 18579457 37158914 74317828 148635656