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56136192 = 293723227
BaseRepresentation
bin1101011000100…
…1001000000000
310220122000101020
43112021020000
5103332324232
65323105440
71251102240
oct326111000
9126560336
1056136192
1129761a52
1216972280
13b8263a8
147653b20
154ddce2c
hex3589200

56136192 has 160 divisors (see below), whose sum is σ = 179131392. Its totient is φ = 15273984.

The previous prime is 56136191. The next prime is 56136209. The reversal of 56136192 is 29163165.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56136191) 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, 247183 + ... + 247409.

Almost surely, 256136192 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 56136192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89565696).

56136192 is an abundant number, since it is smaller than the sum of its proper divisors (122995200).

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

56136192 is a wasteful number, since it uses less digits than its factorization.

56136192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 262 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 56136192 is about 7492.4089584058. The cubic root of 56136192 is about 382.8961353745.

The spelling of 56136192 in words is "fifty-six million, one hundred thirty-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 227 256 276 322 336 368 384 448 454 483 512 552 644 672 681 736 768 896 908 966 1104 1288 1344 1362 1472 1536 1589 1792 1816 1932 2208 2576 2688 2724 2944 3178 3584 3632 3864 4416 4767 5152 5221 5376 5448 5888 6356 7264 7728 8832 9534 10304 10442 10752 10896 11776 12712 14528 15456 15663 17664 19068 20608 20884 21792 25424 29056 30912 31326 35328 36547 38136 41216 41768 43584 50848 58112 61824 62652 73094 76272 82432 83536 87168 101696 109641 116224 123648 125304 146188 152544 167072 174336 203392 219282 247296 250608 292376 305088 334144 348672 406784 438564 501216 584752 610176 668288 813568 877128 1002432 1169504 1220352 1336576 1754256 2004864 2339008 2440704 2673152 3508512 4009728 4678016 7017024 8019456 9356032 14034048 18712064 28068096 56136192