Search a number
-
+
93976816 = 24171073229
BaseRepresentation
bin1011001100111…
…11100011110000
320112211111221211
411212133203300
5143024224231
613154125504
72220534613
oct546374360
9215744854
1093976816
114905819a
1227580894
13166150ab
14c6a417a
1583b4eb1
hex599f8f0

93976816 has 40 divisors (see below), whose sum is σ = 194652720. Its totient is φ = 43797504.

The previous prime is 93976811. The next prime is 93976819. The reversal of 93976816 is 61867939.

It is a self number, because there is not a number n which added to its sum of digits gives 93976816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93976811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27490 + ... + 30718.

It is an arithmetic number, because the mean of its divisors is an integer number (4866318).

Almost surely, 293976816 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 93976816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97326360).

93976816 is an abundant number, since it is smaller than the sum of its proper divisors (100675904).

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

93976816 is a wasteful number, since it uses less digits than its factorization.

93976816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361 (or 3355 counting only the distinct ones).

The product of its digits is 489888, while the sum is 49.

The square root of 93976816 is about 9694.1640175933. The cubic root of 93976816 is about 454.6462105081.

The spelling of 93976816 in words is "ninety-three million, nine hundred seventy-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 107 136 214 272 428 856 1712 1819 3229 3638 6458 7276 12916 14552 25832 29104 51664 54893 109786 219572 345503 439144 691006 878288 1382012 2764024 5528048 5873551 11747102 23494204 46988408 93976816