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70638144 = 2632331579
BaseRepresentation
bin1000011010111…
…01101001000000
311220220210022120
410031131221000
5121040410034
611002004240
71515262053
oct415355100
9156823276
1070638144
1136967535
121b7a6680
1311833125
14954aa9a
156304c49
hex435da40

70638144 has 56 divisors (see below), whose sum is σ = 187817760. Its totient is φ = 23430144.

The previous prime is 70638107. The next prime is 70638151. The reversal of 70638144 is 44183607.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 43947 + ... + 45525.

Almost surely, 270638144 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 70638144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93908880).

70638144 is an abundant number, since it is smaller than the sum of its proper divisors (117179616).

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

70638144 is a wasteful number, since it uses less digits than its factorization.

70638144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 70638144 is about 8404.6501414396. The cubic root of 70638144 is about 413.3771117927.

The spelling of 70638144 in words is "seventy million, six hundred thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 233 466 699 932 1398 1579 1864 2796 3158 3728 4737 5592 6316 7456 9474 11184 12632 14912 18948 22368 25264 37896 44736 50528 75792 101056 151584 303168 367907 735814 1103721 1471628 2207442 2943256 4414884 5886512 8829768 11773024 17659536 23546048 35319072 70638144