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240925056 = 2733137547
BaseRepresentation
bin11100101110000…
…11100110000000
3121210100021001020
432113003212000
5443134100211
635523505440
75653554261
oct1627034600
9553307036
10240925056
11113aa5619
1268828280
133abb5c08
1423dd6968
1516240306
hexe5c3980

240925056 has 128 divisors (see below), whose sum is σ = 679695360. Its totient is φ = 75479040.

The previous prime is 240925043. The next prime is 240925057. The reversal of 240925056 is 650529042.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240925057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440175 + ... + 440721.

It is an arithmetic number, because the mean of its divisors is an integer number (5310120).

Almost surely, 2240925056 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 240925056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339847680).

240925056 is an abundant number, since it is smaller than the sum of its proper divisors (438770304).

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

240925056 is a wasteful number, since it uses less digits than its factorization.

240925056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 240925056 is about 15521.7607248662. The cubic root of 240925056 is about 622.2439120179.

The spelling of 240925056 in words is "two hundred forty million, nine hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 64 74 93 96 111 124 128 148 186 192 222 248 296 372 384 444 496 547 592 744 888 992 1094 1147 1184 1488 1641 1776 1984 2188 2294 2368 2976 3282 3441 3552 3968 4376 4588 4736 5952 6564 6882 7104 8752 9176 11904 13128 13764 14208 16957 17504 18352 20239 26256 27528 33914 35008 36704 40478 50871 52512 55056 60717 67828 70016 73408 80956 101742 105024 110112 121434 135656 146816 161912 203484 210048 220224 242868 271312 323824 406968 440448 485736 542624 627409 647648 813936 971472 1085248 1254818 1295296 1627872 1882227 1942944 2170496 2509636 2590592 3255744 3764454 3885888 5019272 6511488 7528908 7771776 10038544 15057816 20077088 30115632 40154176 60231264 80308352 120462528 240925056