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80073792 = 2633149311
BaseRepresentation
bin1001100010111…
…01010001000000
312120200011121000
410301131101000
5130444330132
611540132000
71661421201
oct461352100
9176604530
1080073792
1141221697
1222997000
1313787b56
14a8c55a8
15706a87c
hex4c5d440

80073792 has 112 divisors (see below), whose sum is σ = 237744000. Its totient is φ = 26426880.

The previous prime is 80073781. The next prime is 80073817. The reversal of 80073792 is 29737008.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257317 + ... + 257627.

Almost surely, 280073792 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 80073792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118872000).

80073792 is an abundant number, since it is smaller than the sum of its proper divisors (157670208).

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

80073792 is a wasteful number, since it uses less digits than its factorization.

80073792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 80073792 is about 8948.3960573949. The cubic root of 80073792 is about 431.0193806636.

The spelling of 80073792 in words is "eighty million, seventy-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 149 192 216 288 298 311 432 447 576 596 622 864 894 933 1192 1244 1341 1728 1788 1866 2384 2488 2682 2799 3576 3732 4023 4768 4976 5364 5598 7152 7464 8046 8397 9536 9952 10728 11196 14304 14928 16092 16794 19904 21456 22392 28608 29856 32184 33588 42912 44784 46339 59712 64368 67176 85824 89568 92678 128736 134352 139017 179136 185356 257472 268704 278034 370712 417051 537408 556068 741424 834102 1112136 1251153 1482848 1668204 2224272 2502306 2965696 3336408 4448544 5004612 6672816 8897088 10009224 13345632 20018448 26691264 40036896 80073792