Search a number
-
+
96766976 = 210531783
BaseRepresentation
bin1011100010010…
…00110000000000
320202002021100002
411301020300000
5144233020401
613334015132
72253335315
oct561106000
9222067302
1096766976
114a693509
12284a74a8
1317081087
14cbccd0c
158766a6b
hex5c48c00

96766976 has 44 divisors (see below), whose sum is σ = 197199792. Its totient is φ = 47443968.

The previous prime is 96766973. The next prime is 96766987. The reversal of 96766976 is 67966769.

It is a happy number.

It is a super-3 number, since 3×967669763 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (96766973) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53381 + ... + 55163.

Almost surely, 296766976 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 96766976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98599896).

96766976 is an abundant number, since it is smaller than the sum of its proper divisors (100432816).

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

96766976 is a wasteful number, since it uses less digits than its factorization.

96766976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1838 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 56.

The square root of 96766976 is about 9837.0206871796. The cubic root of 96766976 is about 459.1018644470.

The spelling of 96766976 in words is "ninety-six million, seven hundred sixty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1024 1696 1783 3392 3566 6784 7132 13568 14264 27136 28528 54272 57056 94499 114112 188998 228224 377996 456448 755992 912896 1511984 1825792 3023968 6047936 12095872 24191744 48383488 96766976