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96577376 = 2572411789
BaseRepresentation
bin1011100000110…
…10011101100000
320201201122020212
411300122131200
5144210434001
613325553252
72251615460
oct560323540
9221648225
1096577376
114a574015
1228415828
131701599c
14cb7dba0
15872a7bb
hex5c1a760

96577376 has 48 divisors (see below), whose sum is σ = 218322720. Its totient is φ = 41195520.

The previous prime is 96577373. The next prime is 96577381. The reversal of 96577376 is 67377569.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96577373) 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, 53090 + ... + 54878.

It is an arithmetic number, because the mean of its divisors is an integer number (4548390).

Almost surely, 296577376 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 96577376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109161360).

96577376 is an abundant number, since it is smaller than the sum of its proper divisors (121745344).

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

96577376 is a wasteful number, since it uses less digits than its factorization.

96577376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2039 counting only the distinct ones).

The product of its digits is 1666980, while the sum is 50.

The square root of 96577376 is about 9827.3788977530. The cubic root of 96577376 is about 458.8018219120.

The spelling of 96577376 in words is "ninety-six million, five hundred seventy-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 241 482 964 1687 1789 1928 3374 3578 3856 6748 7156 7712 12523 13496 14312 25046 26992 28624 50092 53984 57248 100184 200368 400736 431149 862298 1724596 3018043 3449192 6036086 6898384 12072172 13796768 24144344 48288688 96577376