Search a number
-
+
70504896 = 26371119251
BaseRepresentation
bin1000011001111…
…01000111000000
311220200000112110
410030331013000
5121022124041
610555055320
71514165430
oct414750700
9156600473
1070504896
1136886410
121b741540
13117b7597
1495142c0
1562ca516
hex433d1c0

70504896 has 224 divisors, whose sum is σ = 245790720. Its totient is φ = 17280000.

The previous prime is 70504859. The next prime is 70504897. The reversal of 70504896 is 69840507.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70504897) 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 31 ways as a sum of consecutive naturals, for example, 280771 + ... + 281021.

It is an arithmetic number, because the mean of its divisors is an integer number (1097280).

Almost surely, 270504896 is an apocalyptic number.

70504896 is a gapful number since it is divisible by the number (76) 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 70504896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122895360).

70504896 is an abundant number, since it is smaller than the sum of its proper divisors (175285824).

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

70504896 is a wasteful number, since it uses less digits than its factorization.

70504896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 70504896 is about 8396.7193593689. The cubic root of 70504896 is about 413.1170240602.

The spelling of 70504896 in words is "seventy million, five hundred four thousand, eight hundred ninety-six".