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148825512 = 23341120879
BaseRepresentation
bin10001101111011…
…10010110101000
3101101001010020000
420313232112220
5301044404022
622433503000
73454665423
oct1067562650
9341033200
10148825512
117700a8a0
1241a11a60
1324aaa444
1415aa09ba
15d0eb6ac
hex8dee5a8

148825512 has 80 divisors (see below), whose sum is σ = 454766400. Its totient is φ = 45096480.

The previous prime is 148825489. The next prime is 148825519. The reversal of 148825512 is 215528841.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (148825519) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3312 + ... + 17567.

It is an arithmetic number, because the mean of its divisors is an integer number (5684580).

Almost surely, 2148825512 is an apocalyptic number.

148825512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148825512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227383200).

148825512 is an abundant number, since it is smaller than the sum of its proper divisors (305940888).

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

148825512 is a wasteful number, since it uses less digits than its factorization.

148825512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20908 (or 20895 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 148825512 is about 12199.4062150582. The cubic root of 148825512 is about 529.9388941062.

It can be divided in two parts, 1488 and 25512, that added together give a cube (27000 = 303).

The spelling of 148825512 in words is "one hundred forty-eight million, eight hundred twenty-five thousand, five hundred twelve".

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 20879 41758 62637 83516 125274 167032 187911 229669 250548 375822 459338 501096 563733 689007 751644 918676 1127466 1378014 1503288 1691199 1837352 2067021 2254932 2756028 3382398 4134042 4509864 5512056 6201063 6764796 8268084 12402126 13529592 16536168 18603189 24804252 37206378 49608504 74412756 148825512