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70506816 = 2631572339
BaseRepresentation
bin1000011001111…
…01100101000000
311220200010011120
410030331211000
5121022204231
610555112240
71514204142
oct414754500
9156603146
1070506816
11368878a6
121b742680
13117b8413
149514c92
1562cad96
hex433d940

70506816 has 56 divisors (see below), whose sum is σ = 187817760. Its totient is φ = 23342592.

The previous prime is 70506809. The next prime is 70506817. The reversal of 70506816 is 61860507.

It is a super-2 number, since 2×705068162 = 9942422204915712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70506817) 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 7 ways as a sum of consecutive naturals, for example, 28975 + ... + 31313.

Almost surely, 270506816 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 70506816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93908880).

70506816 is an abundant number, since it is smaller than the sum of its proper divisors (117310944).

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

70506816 is a wasteful number, since it uses less digits than its factorization.

70506816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 70506816 is about 8396.8336889568. The cubic root of 70506816 is about 413.1207740479.

The spelling of 70506816 in words is "seventy million, five hundred six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 157 192 314 471 628 942 1256 1884 2339 2512 3768 4678 5024 7017 7536 9356 10048 14034 15072 18712 28068 30144 37424 56136 74848 112272 149696 224544 367223 449088 734446 1101669 1468892 2203338 2937784 4406676 5875568 8813352 11751136 17626704 23502272 35253408 70506816