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70613856 = 25371009
BaseRepresentation
bin1000011010101…
…11101101100000
311220212120000000
410031113231200
5121034120411
611001300000
71515131205
oct415275540
9156776000
1070613856
1136950265
121b794600
1311825061
149541cac
1562ec956
hex4357b60

70613856 has 96 divisors (see below), whose sum is σ = 208706400. Its totient is φ = 23514624.

The previous prime is 70613843. The next prime is 70613863. The reversal of 70613856 is 65831607.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 70613856.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 69480 + ... + 70488.

It is an arithmetic number, because the mean of its divisors is an integer number (2174025).

Almost surely, 270613856 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 70613856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104353200).

70613856 is an abundant number, since it is smaller than the sum of its proper divisors (138092544).

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

70613856 is an equidigital number, since it uses as much as digits as its factorization.

70613856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 70613856 is about 8403.2051028164. The cubic root of 70613856 is about 413.3297282608.

The spelling of 70613856 in words is "seventy million, six hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1009 1296 1458 1944 2018 2187 2592 2916 3027 3888 4036 4374 5832 6054 7776 8072 8748 9081 11664 12108 16144 17496 18162 23328 24216 27243 32288 34992 36324 48432 54486 69984 72648 81729 96864 108972 145296 163458 217944 245187 290592 326916 435888 490374 653832 735561 871776 980748 1307664 1471122 1961496 2206683 2615328 2942244 3922992 4413366 5884488 7845984 8826732 11768976 17653464 23537952 35306928 70613856