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312550056 = 233371315901
BaseRepresentation
bin10010101000010…
…010001010101000
3210210010012002000
4102220102022220
51120003100211
651003011000
710513426440
oct2250221250
9723105060
10312550056
11150476535
1288809a60
134c9a3280
142d71d120
151c68c656
hex12a122a8

312550056 has 128 divisors (see below), whose sum is σ = 1068614400. Its totient is φ = 82425600.

The previous prime is 312550037. The next prime is 312550061. The reversal of 312550056 is 650055213.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 11706 + ... + 27606.

It is an arithmetic number, because the mean of its divisors is an integer number (8348550).

Almost surely, 2312550056 is an apocalyptic number.

312550056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312550056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534307200).

312550056 is an abundant number, since it is smaller than the sum of its proper divisors (756064344).

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

312550056 is a wasteful number, since it uses less digits than its factorization.

312550056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15936 (or 15926 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 312550056 is about 17679.0852704545. The cubic root of 312550056 is about 678.6406349845.

The spelling of 312550056 in words is "three hundred twelve million, five hundred fifty thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 15901 19656 31802 47703 63604 95406 111307 127208 143109 190812 206713 222614 286218 333921 381624 413426 429327 445228 572436 620139 667842 826852 858654 890456 1001763 1144872 1240278 1335684 1446991 1653704 1717308 1860417 2003526 2480556 2671368 2893982 3005289 3434616 3720834 4007052 4340973 4961112 5581251 5787964 6010578 7441668 8014104 8681946 11162502 11575928 12021156 13022919 14883336 17363892 22325004 24042312 26045838 34727784 39068757 44650008 52091676 78137514 104183352 156275028 312550056