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70249608 = 233211136823
BaseRepresentation
bin1000010111111…
…10110010001000
311220012001100100
410023332302020
5120440441413
610545405400
71512053232
oct413766210
9156161310
1070249608
1136721630
121b639860
1311728320
149489252
156279a73
hex42fec88

70249608 has 96 divisors (see below), whose sum is σ = 223554240. Its totient is φ = 19647360.

The previous prime is 70249603. The next prime is 70249633. The reversal of 70249608 is 80694207.

70249608 is a `hidden beast` number, since 7 + 0 + 2 + 49 + 608 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (70249603) 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 23 ways as a sum of consecutive naturals, for example, 6885 + ... + 13707.

It is an arithmetic number, because the mean of its divisors is an integer number (2328690).

Almost surely, 270249608 is an apocalyptic number.

70249608 is a gapful number since it is divisible by the number (78) 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 70249608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111777120).

70249608 is an abundant number, since it is smaller than the sum of its proper divisors (153304632).

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

70249608 is a wasteful number, since it uses less digits than its factorization.

70249608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6859 (or 6852 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 70249608 is about 8381.5039223280. The cubic root of 70249608 is about 412.6178087752.

The spelling of 70249608 in words is "seventy million, two hundred forty-nine thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 5148 6823 10296 13646 20469 27292 40938 54584 61407 75053 81876 88699 122814 150106 163752 177398 225159 245628 266097 300212 354796 450318 491256 532194 600424 675477 709592 798291 900636 975689 1064388 1350954 1596582 1801272 1951378 2128776 2701908 2927067 3193164 3902756 5403816 5854134 6386328 7805512 8781201 11708268 17562402 23416536 35124804 70249608