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152490984 = 23331972113
BaseRepresentation
bin10010001011011…
…01001111101000
3101121221100022020
421011231033220
5303014202414
623044224440
73531103062
oct1105551750
9347840266
10152490984
1179093808
124309b120
1325791969
1416376732
15d5c27a9
hex916d3e8

152490984 has 64 divisors (see below), whose sum is σ = 397770240. Its totient is φ = 48660480.

The previous prime is 152490977. The next prime is 152491007. The reversal of 152490984 is 489094251.

152490984 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71112 + ... + 73224.

It is an arithmetic number, because the mean of its divisors is an integer number (6215160).

Almost surely, 2152490984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152490984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198885120).

152490984 is an abundant number, since it is smaller than the sum of its proper divisors (245279256).

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

152490984 is a wasteful number, since it uses less digits than its factorization.

152490984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 152490984 is about 12348.7239826631. The cubic root of 152490984 is about 534.2543360538.

The spelling of 152490984 in words is "one hundred fifty-two million, four hundred ninety thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 97 124 186 194 248 291 372 388 582 744 776 1164 2113 2328 3007 4226 6014 6339 8452 9021 12028 12678 16904 18042 24056 25356 36084 50712 65503 72168 131006 196509 204961 262012 393018 409922 524024 614883 786036 819844 1229766 1572072 1639688 2459532 4919064 6353791 12707582 19061373 25415164 38122746 50830328 76245492 152490984