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152478126 = 235313741
BaseRepresentation
bin10010001011010…
…10000110101110
3101121220200200000
421011222012232
5303013300001
623044045130
73531020433
oct1105520656
9347820600
10152478126
1179085089
12430937a6
1325788b58
1416371b8a
15d5bda86
hex916a1ae

152478126 has 24 divisors (see below), whose sum is σ = 342606264. Its totient is φ = 50825880.

The previous prime is 152478121. The next prime is 152478149. The reversal of 152478126 is 621874251.

152478126 is a `hidden beast` number, since 1 + 524 + 7 + 8 + 126 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152478121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156385 + ... + 157356.

It is an arithmetic number, because the mean of its divisors is an integer number (14275261).

Almost surely, 2152478126 is an apocalyptic number.

152478126 is an abundant number, since it is smaller than the sum of its proper divisors (190128138).

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

152478126 is an equidigital number, since it uses as much as digits as its factorization.

152478126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313758 (or 313746 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 152478126 is about 12348.2033510953. The cubic root of 152478126 is about 534.2393195696.

The spelling of 152478126 in words is "one hundred fifty-two million, four hundred seventy-eight thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 313741 627482 941223 1882446 2823669 5647338 8471007 16942014 25413021 50826042 76239063 152478126