Search a number
-
+
49608720 = 24335717193
BaseRepresentation
bin1011110100111…
…1100000010000
310110100101101000
42331033200100
5100144434340
64531142000
71141444560
oct275174020
9113311330
1049608720
1126003847
1214744900
13a37c295
146834da0
15454dd30
hex2f4f810

49608720 has 320 divisors, whose sum is σ = 207843840. Its totient is φ = 10616832.

The previous prime is 49608719. The next prime is 49608739. The reversal of 49608720 is 2780694.

49608720 is a `hidden beast` number, since 49 + 608 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×496087202 = 4922050200076800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256944 + ... + 257136.

It is an arithmetic number, because the mean of its divisors is an integer number (649512).

Almost surely, 249608720 is an apocalyptic number.

49608720 is a gapful number since it is divisible by the number (40) 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 49608720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103921920).

49608720 is an abundant number, since it is smaller than the sum of its proper divisors (158235120).

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

49608720 is a wasteful number, since it uses less digits than its factorization.

49608720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 49608720 is about 7043.3457958558. The cubic root of 49608720 is about 367.4396402326.

The spelling of 49608720 in words is "forty-nine million, six hundred eight thousand, seven hundred twenty".