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54982656 = 2113219157
BaseRepresentation
bin1101000110111…
…1100000000000
310211110102000200
43101233200000
5103033421111
65242245200
71235226201
oct321574000
9124412020
1054982656
1129044313
12164b6800
13b511321
1474335a8
154c61256
hex346f800

54982656 has 144 divisors (see below), whose sum is σ = 168222600. Its totient is φ = 17252352.

The previous prime is 54982643. The next prime is 54982663. The reversal of 54982656 is 65628945.

It is a tau number, because it is divible by the number of its divisors (144).

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, 350130 + ... + 350286.

Almost surely, 254982656 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 54982656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84111300).

54982656 is an abundant number, since it is smaller than the sum of its proper divisors (113239944).

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

54982656 is a wasteful number, since it uses less digits than its factorization.

54982656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 181 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 54982656 is about 7415.0290626538. The cubic root of 54982656 is about 380.2552670810.

The spelling of 54982656 in words is "fifty-four million, nine hundred eighty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 157 171 192 228 256 288 304 314 342 384 456 471 512 576 608 628 684 768 912 942 1024 1152 1216 1256 1368 1413 1536 1824 1884 2048 2304 2432 2512 2736 2826 2983 3072 3648 3768 4608 4864 5024 5472 5652 5966 6144 7296 7536 8949 9216 9728 10048 10944 11304 11932 14592 15072 17898 18432 19456 20096 21888 22608 23864 26847 29184 30144 35796 38912 40192 43776 45216 47728 53694 58368 60288 71592 80384 87552 90432 95456 107388 116736 120576 143184 160768 175104 180864 190912 214776 241152 286368 321536 350208 361728 381824 429552 482304 572736 723456 763648 859104 964608 1145472 1446912 1527296 1718208 2290944 2893824 3054592 3436416 4581888 6109184 6872832 9163776 13745664 18327552 27491328 54982656