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152749248 = 2634716927
BaseRepresentation
bin10010001101011…
…00010011000000
3101122102110120120
421012230103000
5303100433443
623053540240
73533230041
oct1106542300
9348373516
10152749248
117924a853
12431a4680
1325852392
14164028c8
15d624083
hex91ac4c0

152749248 has 56 divisors (see below), whose sum is σ = 412772352. Its totient is φ = 49830144.

The previous prime is 152749211. The next prime is 152749253. The reversal of 152749248 is 842947251.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 561 + ... + 17487.

Almost surely, 2152749248 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 152749248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206386176).

152749248 is an abundant number, since it is smaller than the sum of its proper divisors (260023104).

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

152749248 is a wasteful number, since it uses less digits than its factorization.

152749248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16989 (or 16979 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 152749248 is about 12359.1766716072. The cubic root of 152749248 is about 534.5557764762. Note that the first 3 decimals are identical.

The spelling of 152749248 in words is "one hundred fifty-two million, seven hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 3008 4512 9024 16927 33854 50781 67708 101562 135416 203124 270832 406248 541664 795569 812496 1083328 1591138 1624992 2386707 3182276 3249984 4773414 6364552 9546828 12729104 19093656 25458208 38187312 50916416 76374624 152749248