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152443008 = 2732132329
BaseRepresentation
bin10010001011000…
…01100010000000
3101121211220111100
421011201202000
5303011134013
623043214400
73530513154
oct1105414200
9347756440
10152443008
1179060763
1243077400
1325775b83
1416363064
15d5b3473
hex9161880

152443008 has 48 divisors (see below), whose sum is σ = 438673950. Its totient is φ = 50813952.

The previous prime is 152443001. The next prime is 152443013. The reversal of 152443008 is 800344251.

It can be written as a sum of positive squares in only one way, i.e., 139996224 + 12446784 = 11832^2 + 3528^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (152443001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65013 + ... + 67316.

Almost surely, 2152443008 is an apocalyptic number.

152443008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

152443008 is an abundant number, since it is smaller than the sum of its proper divisors (286230942).

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

152443008 is a wasteful number, since it uses less digits than its factorization.

152443008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132349 (or 132334 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 152443008 is about 12346.7812809655. The cubic root of 152443008 is about 534.1983019770.

Adding to 152443008 its reverse (800344251), we get a palindrome (952787259).

The spelling of 152443008 in words is "one hundred fifty-two million, four hundred forty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 132329 264658 396987 529316 793974 1058632 1190961 1587948 2117264 2381922 3175896 4234528 4763844 6351792 8469056 9527688 12703584 16938112 19055376 25407168 38110752 50814336 76221504 152443008