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70166824 = 237413281
BaseRepresentation
bin1000010111010…
…10100100101000
311220000211210021
410023222210220
5120430314244
610543530224
71511260000
oct413524450
9156024707
1070166824
1136675412
121b5b9974
13116c9740
149467000
156260284
hex42ea928

70166824 has 80 divisors (see below), whose sum is σ = 165875220. Its totient is φ = 27659520.

The previous prime is 70166819. The next prime is 70166827. The reversal of 70166824 is 42866107.

It can be written as a sum of positive squares in 2 ways, for example, as 69388900 + 777924 = 8330^2 + 882^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 70166824.

It is not an unprimeable number, because it can be changed into a prime (70166827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 249564 + ... + 249844.

Almost surely, 270166824 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 70166824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82937610).

70166824 is an abundant number, since it is smaller than the sum of its proper divisors (95708396).

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

70166824 is a wasteful number, since it uses less digits than its factorization.

70166824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 70166824 is about 8376.5639733724. The cubic root of 70166824 is about 412.4556651464.

The spelling of 70166824 in words is "seventy million, one hundred sixty-six thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 281 343 364 392 562 637 686 728 1124 1274 1372 1967 2248 2401 2548 2744 3653 3934 4459 4802 5096 7306 7868 8918 9604 13769 14612 15736 17836 19208 25571 27538 29224 31213 35672 51142 55076 62426 96383 102284 110152 124852 178997 192766 204568 249704 357994 385532 674681 715988 771064 1252979 1349362 1431976 2505958 2698724 5011916 5397448 8770853 10023832 17541706 35083412 70166824