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96746368 = 271634637
BaseRepresentation
bin1011100010000…
…11101110000000
320202001020001211
411301003232000
5144231340433
613333335504
72253221245
oct561035600
9222036054
1096746368
114a679a84
1228497594
1317074894
14cbc55cc
1587608cd
hex5c43b80

96746368 has 32 divisors (see below), whose sum is σ = 193961160. Its totient is φ = 48066048.

The previous prime is 96746311. The next prime is 96746369. The reversal of 96746368 is 86364769.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96746369) 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 3 ways as a sum of consecutive naturals, for example, 18546 + ... + 23182.

Almost surely, 296746368 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 96746368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96980580).

96746368 is an abundant number, since it is smaller than the sum of its proper divisors (97214792).

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

96746368 is a wasteful number, since it uses less digits than its factorization.

96746368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4814 (or 4802 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 49.

The square root of 96746368 is about 9835.9731597844. The cubic root of 96746368 is about 459.0692712238.

The spelling of 96746368 in words is "ninety-six million, seven hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 163 326 652 1304 2608 4637 5216 9274 10432 18548 20864 37096 74192 148384 296768 593536 755831 1511662 3023324 6046648 12093296 24186592 48373184 96746368