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55057288 = 2311131719149
BaseRepresentation
bin1101001000000…
…1101110001000
310211121012101211
43102001232020
5103043313123
65244022504
71235656606
oct322015610
9124535354
1055057288
11290953a0
1216531a34
13b5392a0
147452876
154c7840d
hex3481b88

55057288 has 128 divisors (see below), whose sum is σ = 136080000. Its totient is φ = 20459520.

The previous prime is 55057273. The next prime is 55057309. The reversal of 55057288 is 88275055.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 55057288.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369438 + ... + 369586.

It is an arithmetic number, because the mean of its divisors is an integer number (1063125).

Almost surely, 255057288 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 55057288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68040000).

55057288 is an abundant number, since it is smaller than the sum of its proper divisors (81022712).

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

55057288 is a wasteful number, since it uses less digits than its factorization.

55057288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 40.

The square root of 55057288 is about 7420.0598380337. The cubic root of 55057288 is about 380.4272387683.

The spelling of 55057288 in words is "fifty-five million, fifty-seven thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 13 17 19 22 26 34 38 44 52 68 76 88 104 136 143 149 152 187 209 221 247 286 298 323 374 418 442 494 572 596 646 748 836 884 988 1144 1192 1292 1496 1639 1672 1768 1937 1976 2431 2533 2584 2717 2831 3278 3553 3874 4199 4862 5066 5434 5662 6556 7106 7748 8398 9724 10132 10868 11324 13112 14212 15496 16796 19448 20264 21307 21736 22648 27863 28424 31141 32929 33592 36803 42614 46189 48127 55726 62282 65858 73606 85228 92378 96254 111452 124564 131716 147212 170456 184756 192508 222904 249128 263432 294424 362219 369512 385016 404833 529397 625651 724438 809666 1058794 1251302 1448876 1619332 2117588 2502604 2897752 3238664 4235176 5005208 6882161 13764322 27528644 55057288