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70838768 = 24711134423
BaseRepresentation
bin1000011100011…
…10100111110000
311221021222112002
410032032213300
5121113320033
611010153132
71520056010
oct416164760
9157258462
1070838768
1136a94240
121b8827a8
13118a3540
14959dc40
1563443e8
hex438e9f0

70838768 has 80 divisors (see below), whose sum is σ = 184321536. Its totient is φ = 25470720.

The previous prime is 70838767. The next prime is 70838771. The reversal of 70838768 is 86783807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70838767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13805 + ... + 18227.

Almost surely, 270838768 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 70838768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92160768).

70838768 is an abundant number, since it is smaller than the sum of its proper divisors (113482768).

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

70838768 is a wasteful number, since it uses less digits than its factorization.

70838768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462 (or 4456 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 47.

The square root of 70838768 is about 8416.5769764198. The cubic root of 70838768 is about 413.7680949726.

It can be divided in two parts, 7083 and 8768, that added together give a palindrome (15851).

The spelling of 70838768 in words is "seventy million, eight hundred thirty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 1001 1144 1232 1456 2002 2288 4004 4423 8008 8846 16016 17692 30961 35384 48653 57499 61922 70768 97306 114998 123844 194612 229996 247688 340571 389224 402493 459992 495376 632489 681142 778448 804986 919984 1264978 1362284 1609972 2529956 2724568 3219944 4427423 5059912 5449136 6439888 8854846 10119824 17709692 35419384 70838768