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153142452 = 22326169737
BaseRepresentation
bin10010010000011…
…00010010110100
3101200011102221200
421020030102310
5303201024302
623110212500
73536455311
oct1110142264
9350142850
10153142452
1179499211
1243354130
132595c348
14164a5d08
15d6a081c
hex920c4b4

153142452 has 36 divisors (see below), whose sum is σ = 393461796. Its totient is φ = 50209920.

The previous prime is 153142447. The next prime is 153142469. The reversal of 153142452 is 254241351.

It can be written as a sum of positive squares in 2 ways, for example, as 33108516 + 120033936 = 5754^2 + 10956^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1531424522 = 46905221209144608, which contains 22 as substring.

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, 32673 + ... + 37064.

Almost surely, 2153142452 is an apocalyptic number.

153142452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

153142452 is an abundant number, since it is smaller than the sum of its proper divisors (240319344).

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

153142452 is a wasteful number, since it uses less digits than its factorization.

153142452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69808 (or 69803 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 153142452 is about 12375.0738179617. The cubic root of 153142452 is about 535.0140643230.

It can be divided in two parts, 15314 and 2452, that added together give a triangular number (17766 = T188).

The spelling of 153142452 in words is "one hundred fifty-three million, one hundred forty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 69737 139474 209211 278948 418422 627633 836844 1255266 2510532 4253957 8507914 12761871 17015828 25523742 38285613 51047484 76571226 153142452