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80387964 = 22342271093
BaseRepresentation
bin1001100101010…
…01111101111100
312121021010120000
410302221331330
5131034403324
611550554300
71664200146
oct462517574
9177233500
1080387964
1141416738
1222b08990
1313867b57
14a967c96
1570cd9c9
hex4ca9f7c

80387964 has 60 divisors (see below), whose sum is σ = 211268904. Its totient is φ = 26653536.

The previous prime is 80387963. The next prime is 80387969. The reversal of 80387964 is 46978308.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80387963) 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, 73002 + ... + 74094.

Almost surely, 280387964 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 80387964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105634452).

80387964 is an abundant number, since it is smaller than the sum of its proper divisors (130880940).

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

80387964 is a wasteful number, since it uses less digits than its factorization.

80387964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 80387964 is about 8965.9335264098. The cubic root of 80387964 is about 431.5823509850.

The spelling of 80387964 in words is "eighty million, three hundred eighty-seven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 227 324 454 681 908 1093 1362 2043 2186 2724 3279 4086 4372 6129 6558 8172 9837 12258 13116 18387 19674 24516 29511 36774 39348 59022 73548 88533 118044 177066 248111 354132 496222 744333 992444 1488666 2232999 2977332 4465998 6698997 8931996 13397994 20096991 26795988 40193982 80387964