Search a number
-
+
49913136 = 24327132293
BaseRepresentation
bin1011111001100…
…1110100110000
310110220211221200
42332121310300
5100234210021
64541451200
71144153230
oct276316460
9113824850
1049913136
11261a1529
1214870b00
13a457a00
1468b3cc0
1545ae126
hex2f99d30

49913136 has 180 divisors, whose sum is σ = 173457648. Its totient is φ = 13118976.

The previous prime is 49913119. The next prime is 49913167. The reversal of 49913136 is 63131994.

49913136 is a `hidden beast` number, since 499 + 131 + 36 = 666.

It is a super-2 number, since 2×499131362 = 4982642290708992, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 49913136.

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, 170206 + ... + 170498.

Almost surely, 249913136 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 49913136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86728824).

49913136 is an abundant number, since it is smaller than the sum of its proper divisors (123544512).

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

49913136 is a wasteful number, since it uses less digits than its factorization.

49913136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 318 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 49913136 is about 7064.9229295159. The cubic root of 49913136 is about 368.1896863929.

The spelling of 49913136 in words is "forty-nine million, nine hundred thirteen thousand, one hundred thirty-six".