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4256315550 = 2325210788397
BaseRepresentation
bin1111110110110010…
…0011100010011110
3101222122000020021200
43331230203202132
532204104044200
61542203340330
7210322041144
oct37554434236
911878006250
104256315550
111894640963
129a95216a6
1352aa65916
142c53d5594
1519da05800
hexfdb2389e

4256315550 has 72 divisors (see below), whose sum is σ = 11542303656. Its totient is φ = 1124397120.

The previous prime is 4256315527. The next prime is 4256315561. The reversal of 4256315550 is 555136524.

4256315550 is a `hidden beast` number, since 42 + 5 + 63 + 1 + 5 + 550 = 666.

It is a super-2 number, since 2×42563155502 = 36232444122343605000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3952 + ... + 92348.

It is an arithmetic number, because the mean of its divisors is an integer number (160309773).

Almost surely, 24256315550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4256315550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5771151828).

4256315550 is an abundant number, since it is smaller than the sum of its proper divisors (7285988106).

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

4256315550 is a wasteful number, since it uses less digits than its factorization.

4256315550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88522 (or 88514 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 4256315550 is about 65240.4441278568. Note that the first 3 decimals coincide. The cubic root of 4256315550 is about 1620.6078537409.

The spelling of 4256315550 in words is "four billion, two hundred fifty-six million, three hundred fifteen thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 107 150 214 225 321 450 535 642 963 1070 1605 1926 2675 3210 4815 5350 8025 9630 16050 24075 48150 88397 176794 265191 441985 530382 795573 883970 1325955 1591146 2209925 2651910 3977865 4419850 6629775 7955730 9458479 13259550 18916958 19889325 28375437 39778650 47292395 56750874 85126311 94584790 141877185 170252622 236461975 283754370 425631555 472923950 709385925 851263110 1418771850 2128157775 4256315550