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56181840 = 243511131637
BaseRepresentation
bin1101011001010…
…0010001010000
310220201022222220
43112110101100
5103340304330
65324101040
71251352311
oct326242120
9126638886
1056181840
1129793280
1216994780
13b8410c0
147666608
154deb710
hex3594450

56181840 has 160 divisors (see below), whose sum is σ = 204736896. Its totient is φ = 12564480.

The previous prime is 56181817. The next prime is 56181859. The reversal of 56181840 is 4818165.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 33502 + ... + 35138.

Almost surely, 256181840 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 56181840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102368448).

56181840 is an abundant number, since it is smaller than the sum of its proper divisors (148555056).

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

56181840 is a wasteful number, since it uses less digits than its factorization.

56181840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 56181840 is about 7495.4546226363. The cubic root of 56181840 is about 382.9998931981. Note that the first 3 decimals are identical.

The spelling of 56181840 in words is "fifty-six million, one hundred eighty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858 880 1040 1144 1320 1430 1560 1637 1716 2145 2288 2640 2860 3120 3274 3432 4290 4911 5720 6548 6864 8185 8580 9822 11440 13096 16370 17160 18007 19644 21281 24555 26192 32740 34320 36014 39288 42562 49110 54021 63843 65480 72028 78576 85124 90035 98220 106405 108042 127686 130960 144056 170248 180070 196440 212810 216084 234091 255372 270105 288112 319215 340496 360140 392880 425620 432168 468182 510744 540210 638430 702273 720280 851240 864336 936364 1021488 1080420 1170455 1276860 1404546 1440560 1702480 1872728 2160840 2340910 2553720 2809092 3511365 3745456 4321680 4681820 5107440 5618184 7022730 9363640 11236368 14045460 18727280 28090920 56181840