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148352976 = 24326116889
BaseRepresentation
bin10001101011110…
…10111111010000
3101100011010000200
420311322333100
5300434243401
622415415200
73450656652
oct1065727720
9340133020
10148352976
1176817872
1241824500
1324973335
14159ba6d2
15d056686
hex8d7afd0

148352976 has 60 divisors (see below), whose sum is σ = 422013540. Its totient is φ = 48637440.

The previous prime is 148352959. The next prime is 148352987. The reversal of 148352976 is 679253841.

It can be written as a sum of positive squares in 2 ways, for example, as 4928400 + 143424576 = 2220^2 + 11976^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340 + ... + 17228.

It is an arithmetic number, because the mean of its divisors is an integer number (7033559).

Almost surely, 2148352976 is an apocalyptic number.

148352976 is a gapful number since it is divisible by the number (16) 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 148352976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211006770).

148352976 is an abundant number, since it is smaller than the sum of its proper divisors (273660564).

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

148352976 is a wasteful number, since it uses less digits than its factorization.

148352976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16964 (or 16955 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 148352976 is about 12180.0236452972. The cubic root of 148352976 is about 529.3774296512.

The spelling of 148352976 in words is "one hundred forty-eight million, three hundred fifty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 8784 16889 33778 50667 67556 101334 135112 152001 202668 270224 304002 405336 608004 810672 1030229 1216008 2060458 2432016 3090687 4120916 6181374 8241832 9272061 12362748 16483664 18544122 24725496 37088244 49450992 74176488 148352976