Search a number
-
+
70249536 = 26327219131
BaseRepresentation
bin1000010111111…
…10110001000000
311220012001020200
410023332301000
5120440441121
610545405200
71512053100
oct413766100
9156161220
1070249536
1136721575
121b639800
1311728296
149489200
156279a26
hex42fec40

70249536 has 252 divisors, whose sum is σ = 248442480. Its totient is φ = 18869760.

The previous prime is 70249511. The next prime is 70249541. The reversal of 70249536 is 63594207.

It is a tau number, because it is divible by the number of its divisors (252).

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 70249536.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 536191 + ... + 536321.

Almost surely, 270249536 is an apocalyptic number.

70249536 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 70249536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124221240).

70249536 is an abundant number, since it is smaller than the sum of its proper divisors (178192944).

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

70249536 is a wasteful number, since it uses less digits than its factorization.

70249536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 70249536 is about 8381.4996271550. The cubic root of 70249536 is about 412.6176678089.

The spelling of 70249536 in words is "seventy million, two hundred forty-nine thousand, five hundred thirty-six".