Search a number
-
+
96738848 = 2531113863
BaseRepresentation
bin1011100010000…
…01111000100000
320202000211202022
411301001320200
5144231120343
613333241012
72253160313
oct561017040
9222024668
1096738848
114a674368
1228493168
131707132b
14cbc297a
15875d568
hex5c41e20

96738848 has 48 divisors (see below), whose sum is σ = 198567936. Its totient is φ = 46341120.

The previous prime is 96738839. The next prime is 96738853. The reversal of 96738848 is 84883769.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 96738848.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111665 + ... + 112527.

It is an arithmetic number, because the mean of its divisors is an integer number (4136832).

Almost surely, 296738848 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 96738848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99283968).

96738848 is an abundant number, since it is smaller than the sum of its proper divisors (101829088).

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

96738848 is a wasteful number, since it uses less digits than its factorization.

96738848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1009 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 53.

The square root of 96738848 is about 9835.5908820975. The cubic root of 96738848 is about 459.0573765814.

The spelling of 96738848 in words is "ninety-six million, seven hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 62 113 124 226 248 452 496 863 904 992 1726 1808 3452 3503 3616 6904 7006 13808 14012 26753 27616 28024 53506 56048 97519 107012 112096 195038 214024 390076 428048 780152 856096 1560304 3023089 3120608 6046178 12092356 24184712 48369424 96738848