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70642944 = 283230661
BaseRepresentation
bin1000011010111…
…10110100000000
311220221000220100
410031132310000
5121041033234
611002042400
71515312051
oct415366400
9156830810
1070642944
11369700a9
121b7a9400
1311835378
14954c728
156306399
hex435ed00

70642944 has 54 divisors (see below), whose sum is σ = 203687666. Its totient is φ = 23546880.

The previous prime is 70642921. The next prime is 70642963. The reversal of 70642944 is 44924607.

70642944 is a `hidden beast` number, since 7 + 0 + 642 + 9 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70560000 + 82944 = 8400^2 + 288^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 70642899 and 70642908.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 13027 + ... + 17634.

Almost surely, 270642944 is an apocalyptic number.

It is an amenable number.

70642944 is an abundant number, since it is smaller than the sum of its proper divisors (133044722).

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

70642944 is a wasteful number, since it uses less digits than its factorization.

70642944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30683 (or 30666 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 70642944 is about 8404.9356927938. The cubic root of 70642944 is about 413.3864748416.

The spelling of 70642944 in words is "seventy million, six hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 30661 61322 91983 122644 183966 245288 275949 367932 490576 551898 735864 981152 1103796 1471728 1962304 2207592 2943456 3924608 4415184 5886912 7849216 8830368 11773824 17660736 23547648 35321472 70642944