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914408896 = 26194118341
BaseRepresentation
bin110110100000001…
…100010111000000
32100201121210012011
4312200030113000
53333042041041
6230422542304
731442230102
oct6640142700
92321553164
10914408896
1142a183a35
12216297994
1311759cc6b
148962b572
1555425e81
hex3680c5c0

914408896 has 56 divisors (see below), whose sum is σ = 1956724560. Its totient is φ = 422553600.

The previous prime is 914408893. The next prime is 914408897. The reversal of 914408896 is 698804419.

It is a super-2 number, since 2×9144088962 = 1672287258167877632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (914408893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40686 + ... + 59026.

It is an arithmetic number, because the mean of its divisors is an integer number (34941510).

Almost surely, 2914408896 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 914408896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978362280).

914408896 is an abundant number, since it is smaller than the sum of its proper divisors (1042315664).

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

914408896 is a wasteful number, since it uses less digits than its factorization.

914408896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18413 (or 18403 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The square root of 914408896 is about 30239.1946982720. The cubic root of 914408896 is about 970.6145876673.

The spelling of 914408896 in words is "nine hundred fourteen million, four hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 152 164 304 328 608 656 779 1216 1312 1558 2624 3116 6232 12464 18341 24928 36682 49856 73364 146728 293456 348479 586912 696958 751981 1173824 1393916 1503962 2787832 3007924 5575664 6015848 11151328 12031696 14287639 22302656 24063392 28575278 48126784 57150556 114301112 228602224 457204448 914408896