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80005296 = 2437317681
BaseRepresentation
bin1001100010011…
…00100010110000
312120112200122010
410301030202300
5130440132141
611534442520
71661014410
oct461144260
9176480563
1080005296
1141185188
1222963440
1313762917
14a8a8640
157055416
hex4c4c8b0

80005296 has 80 divisors (see below), whose sum is σ = 243857408. Its totient is φ = 22118400.

The previous prime is 80005283. The next prime is 80005297. The reversal of 80005296 is 69250008.

It is not an unprimeable number, because it can be changed into a prime (80005297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6576 + ... + 14256.

Almost surely, 280005296 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 80005296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121928704).

80005296 is an abundant number, since it is smaller than the sum of its proper divisors (163852112).

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

80005296 is a wasteful number, since it uses less digits than its factorization.

80005296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7730 (or 7724 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 80005296 is about 8944.5679604998. The cubic root of 80005296 is about 430.8964460350.

The spelling of 80005296 in words is "eighty million, five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 7681 10416 15362 23043 30724 46086 53767 61448 92172 107534 122896 161301 184344 215068 238111 322602 368688 430136 476222 645204 714333 860272 952444 1290408 1428666 1666777 1904888 2580816 2857332 3333554 3809776 5000331 5714664 6667108 10000662 11429328 13334216 20001324 26668432 40002648 80005296