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70561872 = 24322961277
BaseRepresentation
bin1000011010010…
…11000001010000
311220202220200200
410031023001100
5121030434442
611000215200
71514523513
oct415130120
9156686620
1070561872
11369151a7
121b76a500
13118074b4
14952ad7a
1562dc34c
hex434b050

70561872 has 120 divisors (see below), whose sum is σ = 208383240. Its totient is φ = 22256640.

The previous prime is 70561853. The next prime is 70561889. The reversal of 70561872 is 27816507.

It can be written as a sum of positive squares in 4 ways, for example, as 404496 + 70157376 = 636^2 + 8376^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254598 + ... + 254874.

It is an arithmetic number, because the mean of its divisors is an integer number (1736527).

Almost surely, 270561872 is an apocalyptic number.

70561872 is a gapful number since it is divisible by the number (72) 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 70561872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104191620).

70561872 is an abundant number, since it is smaller than the sum of its proper divisors (137821368).

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

70561872 is a wasteful number, since it uses less digits than its factorization.

70561872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 70561872 is about 8400.1114278324. Note that the first 3 decimals coincide. The cubic root of 70561872 is about 413.2282759937.

The spelling of 70561872 in words is "seventy million, five hundred sixty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 61 72 87 116 122 144 174 183 232 244 261 277 348 366 464 488 522 549 554 696 732 831 976 1044 1098 1108 1392 1464 1662 1769 2088 2196 2216 2493 2928 3324 3538 4176 4392 4432 4986 5307 6648 7076 8033 8784 9972 10614 13296 14152 15921 16066 16897 19944 21228 24099 28304 31842 32132 33794 39888 42456 48198 50691 63684 64264 67588 72297 84912 96396 101382 127368 128528 135176 144594 152073 192792 202764 254736 270352 289188 304146 385584 405528 490013 578376 608292 811056 980026 1156752 1216584 1470039 1960052 2433168 2940078 3920104 4410117 5880156 7840208 8820234 11760312 17640468 23520624 35280936 70561872