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153250656 = 253131923281
BaseRepresentation
bin10010010001001…
…10101101100000
3101200100221101020
421020212231200
5303213010111
623112405440
73540415626
oct1110465540
9350327336
10153250656
1179562539
12433a6880
1325999680
14164d3516
15d6c2906
hex9226b60

153250656 has 192 divisors, whose sum is σ = 477550080. Its totient is φ = 42577920.

The previous prime is 153250649. The next prime is 153250663. The reversal of 153250656 is 656052351.

It is an interprime number because it is at equal distance from previous prime (153250649) and next prime (153250663).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 545236 + ... + 545516.

It is an arithmetic number, because the mean of its divisors is an integer number (2487240).

Almost surely, 2153250656 is an apocalyptic number.

153250656 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 153250656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238775040).

153250656 is an abundant number, since it is smaller than the sum of its proper divisors (324299424).

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

153250656 is a wasteful number, since it uses less digits than its factorization.

153250656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 153250656 is about 12379.4448987020. Note that the first 3 decimals coincide. The cubic root of 153250656 is about 535.1400407848.

The spelling of 153250656 in words is "one hundred fifty-three million, two hundred fifty thousand, six hundred fifty-six".