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80363664 = 2434591051
BaseRepresentation
bin1001100101001…
…00000010010000
312121012220020000
410302210002100
5131033114124
611550250000
71664036253
oct462440220
9177186200
1080363664
11413aa457
1222ab6900
1313859a84
14a95d09a
1570c66c9
hex4ca4090

80363664 has 100 divisors (see below), whose sum is σ = 236763120. Its totient is φ = 26308800.

The previous prime is 80363663. The next prime is 80363677. The reversal of 80363664 is 46636308.

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

It is not an unprimeable number, because it can be changed into a prime (80363663) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 75939 + ... + 76989.

Almost surely, 280363664 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 80363664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118381560).

80363664 is an abundant number, since it is smaller than the sum of its proper divisors (156399456).

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

80363664 is a wasteful number, since it uses less digits than its factorization.

80363664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 80363664 is about 8964.5782945993. The cubic root of 80363664 is about 431.5388597809.

The spelling of 80363664 in words is "eighty million, three hundred sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 81 108 118 144 162 177 216 236 324 354 432 472 531 648 708 944 1051 1062 1296 1416 1593 2102 2124 2832 3153 3186 4204 4248 4779 6306 6372 8408 8496 9459 9558 12612 12744 16816 18918 19116 25224 25488 28377 37836 38232 50448 56754 62009 75672 76464 85131 113508 124018 151344 170262 186027 227016 248036 340524 372054 454032 496072 558081 681048 744108 992144 1116162 1362096 1488216 1674243 2232324 2976432 3348486 4464648 5022729 6696972 8929296 10045458 13393944 20090916 26787888 40181832 80363664