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18925056 = 2933372
BaseRepresentation
bin100100000110…
…0011000000000
31022121111022000
41020030120000
514321100211
61513344000
7316601043
oct110143000
938544260
1018925056
11a756747
126408000
133bc8077
142728c5a
1519dc656
hex120c600

18925056 has 120 divisors (see below), whose sum is σ = 57574440. Its totient is φ = 6137856.

The previous prime is 18925037. The next prime is 18925087. The reversal of 18925056 is 65052981.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 18925056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 511470 + ... + 511506.

It is an arithmetic number, because the mean of its divisors is an integer number (479787).

Almost surely, 218925056 is an apocalyptic number.

18925056 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 18925056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28787220).

18925056 is an abundant number, since it is smaller than the sum of its proper divisors (38649384).

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

18925056 is an frugal number, since it uses more digits than its factorization.

18925056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 18925056 is about 4350.2937831829. The cubic root of 18925056 is about 266.4888592461.

Multiplying 18925056 by its product of nonzero digits (21600), we get a square (408781209600 = 6393602).

The spelling of 18925056 in words is "eighteen million, nine hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 256 288 296 333 384 432 444 512 576 592 666 768 864 888 999 1152 1184 1332 1369 1536 1728 1776 1998 2304 2368 2664 2738 3456 3552 3996 4107 4608 4736 5328 5476 6912 7104 7992 8214 9472 10656 10952 12321 13824 14208 15984 16428 18944 21312 21904 24642 28416 31968 32856 36963 42624 43808 49284 56832 63936 65712 73926 85248 87616 98568 127872 131424 147852 170496 175232 197136 255744 262848 295704 350464 394272 511488 525696 591408 700928 788544 1051392 1182816 1577088 2102784 2365632 3154176 4731264 6308352 9462528 18925056