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242625328 = 2411311393
BaseRepresentation
bin11100111011000…
…10101100110000
3121220112122101021
432131202230300
5444103002303
640024145224
76004165321
oct1635425460
9556478337
10242625328
11114a57000
1269308214
133b35caaa
142431a448
1516478ebd
hexe762b30

242625328 has 40 divisors (see below), whose sum is σ = 517105296. Its totient is φ = 110274560.

The previous prime is 242625319. The next prime is 242625349. The reversal of 242625328 is 823526242.

242625328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242625293 and 242625302.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15600 + ... + 26992.

Almost surely, 2242625328 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 242625328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258552648).

242625328 is an abundant number, since it is smaller than the sum of its proper divisors (274479968).

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

242625328 is a wasteful number, since it uses less digits than its factorization.

242625328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11434 (or 11406 counting only the distinct ones).

The product of its digits is 46080, while the sum is 34.

The square root of 242625328 is about 15576.4350221737. The cubic root of 242625328 is about 623.7042621177.

The spelling of 242625328 in words is "two hundred forty-two million, six hundred twenty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1331 1936 2662 5324 10648 11393 21296 22786 45572 91144 125323 182288 250646 501292 1002584 1378553 2005168 2757106 5514212 11028424 15164083 22056848 30328166 60656332 121312664 242625328