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70357248 = 28361329
BaseRepresentation
bin1000011000110…
…01000100000000
311220101112000000
410030121010000
5121002412443
610552000000
71513012113
oct414310400
9156345000
1070357248
1136795495
121b690000
1311765310
1494b657a
15629b8d3
hex4319100

70357248 has 252 divisors, whose sum is σ = 234579660. Its totient is φ = 20901888.

The previous prime is 70357241. The next prime is 70357249. The reversal of 70357248 is 84275307.

It can be written as a sum of positive squares in 2 ways, for example, as 22581504 + 47775744 = 4752^2 + 6912^2 .

It is a super-2 number, since 2×703572482 = 9900284692267008, which contains 22 as substring.

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 (70357241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2426098 + ... + 2426126.

Almost surely, 270357248 is an apocalyptic number.

70357248 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 70357248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117289830).

70357248 is an abundant number, since it is smaller than the sum of its proper divisors (164222412).

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

70357248 is an equidigital number, since it uses as much as digits as its factorization.

70357248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 70357248 is about 8387.9227464254. The cubic root of 70357248 is about 412.8284458494.

The spelling of 70357248 in words is "seventy million, three hundred fifty-seven thousand, two hundred forty-eight".