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56145152 = 287171997
BaseRepresentation
bin1101011000101…
…1010100000000
310220122110200002
43112023110000
5103333121102
65323215132
71251140330
oct326132400
9126573602
1056145152
1129768758
12169774a8
13b82a4ab
1476570c0
154de0902
hex358b500

56145152 has 144 divisors (see below), whose sum is σ = 144224640. Its totient is φ = 21233664.

The previous prime is 56145151. The next prime is 56145161. The reversal of 56145152 is 25154165.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56145151) 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, 578768 + ... + 578864.

It is an arithmetic number, because the mean of its divisors is an integer number (1001560).

Almost surely, 256145152 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 56145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72112320).

56145152 is an abundant number, since it is smaller than the sum of its proper divisors (88079488).

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

56145152 is a wasteful number, since it uses less digits than its factorization.

56145152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its digits is 6000, while the sum is 29.

The square root of 56145152 is about 7493.0068730784. The cubic root of 56145152 is about 382.9165058743.

The spelling of 56145152 in words is "fifty-six million, one hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 56 64 68 76 97 112 119 128 133 136 152 194 224 238 256 266 272 304 323 388 448 476 532 544 608 646 679 776 896 952 1064 1088 1216 1292 1358 1552 1649 1792 1843 1904 2128 2176 2261 2432 2584 2716 3104 3298 3686 3808 4256 4352 4522 4864 5168 5432 6208 6596 7372 7616 8512 9044 10336 10864 11543 12416 12901 13192 14744 15232 17024 18088 20672 21728 23086 24832 25802 26384 29488 30464 31331 34048 36176 41344 43456 46172 51604 52768 58976 62662 72352 82688 86912 92344 103208 105536 117952 125324 144704 173824 184688 206416 211072 219317 235904 250648 289408 369376 412832 422144 438634 471808 501296 578816 738752 825664 877268 1002592 1477504 1651328 1754536 2005184 2955008 3302656 3509072 4010368 7018144 8020736 14036288 28072576 56145152