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80645952 = 2631492819
BaseRepresentation
bin1001100111010…
…00111101000000
312121202020110010
410303220331000
5131121132302
612000304520
71666323252
oct463507500
9177666403
1080645952
1141582552
1223012140
13139283ca
14a9d3cd2
15713016c
hex4ce8f40

80645952 has 56 divisors (see below), whose sum is σ = 214884000. Its totient is φ = 26692096.

The previous prime is 80645951. The next prime is 80645959. The reversal of 80645952 is 25954608.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 80645952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80645951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27199 + ... + 30017.

Almost surely, 280645952 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 80645952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107442000).

80645952 is an abundant number, since it is smaller than the sum of its proper divisors (134238048).

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

80645952 is a wasteful number, since it uses less digits than its factorization.

80645952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 80645952 is about 8980.3091260825. The cubic root of 80645952 is about 432.0435484220.

The spelling of 80645952 in words is "eighty million, six hundred forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 149 192 298 447 596 894 1192 1788 2384 2819 3576 4768 5638 7152 8457 9536 11276 14304 16914 22552 28608 33828 45104 67656 90208 135312 180416 270624 420031 541248 840062 1260093 1680124 2520186 3360248 5040372 6720496 10080744 13440992 20161488 26881984 40322976 80645952