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8073696 = 253372273
BaseRepresentation
bin11110110011000111100000
3120012012000210
4132303013200
54031324241
6445014120
7125424321
oct36630740
916165023
108073696
114614984
122854340
131898b47
141102448
15a97316
hex7b31e0

8073696 has 48 divisors (see below), whose sum is σ = 21775824. Its totient is φ = 2617344.

The previous prime is 8073647. The next prime is 8073749. The reversal of 8073696 is 6963708.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2416 + ... + 4688.

It is an arithmetic number, because the mean of its divisors is an integer number (453663).

Almost surely, 28073696 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 8073696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10887912).

8073696 is an abundant number, since it is smaller than the sum of its proper divisors (13702128).

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

8073696 is a wasteful number, since it uses less digits than its factorization.

8073696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 8073696 is about 2841.4249946110. The cubic root of 8073696 is about 200.6122571268.

It can be divided in two parts, 80736 and 96, that multiplied together give a square (7750656 = 27842).

The spelling of 8073696 in words is "eight million, seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 2273 3552 4546 6819 9092 13638 18184 27276 36368 54552 72736 84101 109104 168202 218208 252303 336404 504606 672808 1009212 1345616 2018424 2691232 4036848 8073696