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238121952 = 25312719531
BaseRepresentation
bin11100011000101…
…11001111100000
3121121001211220120
432030113033200
5441424400302
635343440240
75621001045
oct1614271740
9547054816
10238121952
11112460602
12678b6080
133a444083
14238a71cc
1515d899bc
hexe3173e0

238121952 has 48 divisors (see below), whose sum is σ = 630024192. Its totient is φ = 78744960.

The previous prime is 238121911. The next prime is 238121957. The reversal of 238121952 is 259121832.

It is a happy number.

238121952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238121957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2427 + ... + 21957.

It is an arithmetic number, because the mean of its divisors is an integer number (13125504).

Almost surely, 2238121952 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 238121952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315012096).

238121952 is an abundant number, since it is smaller than the sum of its proper divisors (391902240).

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

238121952 is a wasteful number, since it uses less digits than its factorization.

238121952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19671 (or 19663 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 238121952 is about 15431.2006013790. The cubic root of 238121952 is about 619.8212734924.

The spelling of 238121952 in words is "two hundred thirty-eight million, one hundred twenty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4064 6096 12192 19531 39062 58593 78124 117186 156248 234372 312496 468744 624992 937488 1874976 2480437 4960874 7441311 9921748 14882622 19843496 29765244 39686992 59530488 79373984 119060976 238121952