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152240256 = 2733722931
BaseRepresentation
bin10010001001100…
…00000010000000
3101121110121101000
421010300002000
5302433142011
623035012000
73526010100
oct1104600200
9347417330
10152240256
1178a323a3
1242b9a000
13257047bc
141630d200
15d573356
hex9130080

152240256 has 384 divisors, whose sum is σ = 558144000. Its totient is φ = 40642560.

The previous prime is 152240251. The next prime is 152240261. The reversal of 152240256 is 652042251.

It is an interprime number because it is at equal distance from previous prime (152240251) and next prime (152240261).

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152240251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4910961 + ... + 4910991.

It is an arithmetic number, because the mean of its divisors is an integer number (1453500).

Almost surely, 2152240256 is an apocalyptic number.

152240256 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 152240256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279072000).

152240256 is an abundant number, since it is smaller than the sum of its proper divisors (405903744).

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

152240256 is a wasteful number, since it uses less digits than its factorization.

152240256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 72 counting only the distinct ones).

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

The square root of 152240256 is about 12338.5678261296. The cubic root of 152240256 is about 533.9613657190.

The spelling of 152240256 in words is "one hundred fifty-two million, two hundred forty thousand, two hundred fifty-six".