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70795984 = 2472731237
BaseRepresentation
bin1000011100001…
…00001011010000
311221012210211111
410032010023100
5121110432414
611005223104
71516520200
oct416041320
9157183744
1070795984
1136a65086
121b861a94
1311889c1c
14958c400
1563368c4
hex43842d0

70795984 has 60 divisors (see below), whose sum is σ = 161878404. Its totient is φ = 29901312.

The previous prime is 70795979. The next prime is 70795993. The reversal of 70795984 is 48959707.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 47059600 + 23736384 = 6860^2 + 4872^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56614 + ... + 57850.

Almost surely, 270795984 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 70795984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80939202).

70795984 is an abundant number, since it is smaller than the sum of its proper divisors (91082420).

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

70795984 is a wasteful number, since it uses less digits than its factorization.

70795984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 49.

The square root of 70795984 is about 8414.0349416912. The cubic root of 70795984 is about 413.6847779802.

The spelling of 70795984 in words is "seventy million, seven hundred ninety-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 73 98 112 146 196 292 392 511 584 784 1022 1168 1237 2044 2474 3577 4088 4948 7154 8176 8659 9896 14308 17318 19792 28616 34636 57232 60613 69272 90301 121226 138544 180602 242452 361204 484904 632107 722408 969808 1264214 1444816 2528428 4424749 5056856 8849498 10113712 17698996 35397992 70795984