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80428632 = 23317316359
BaseRepresentation
bin1001100101100…
…11111001011000
312121100012100020
410302303321120
5131042204012
611551510440
71664426544
oct462637130
9177305306
1080428632
1141444249
1222b28420
131388050b
14a978a24
1570daa8c
hex4cb3e58

80428632 has 64 divisors (see below), whose sum is σ = 219801600. Its totient is φ = 24414720.

The previous prime is 80428603. The next prime is 80428637. The reversal of 80428632 is 23682408.

It is a junction number, because it is equal to n+sod(n) for n = 80428593 and 80428602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80428637) 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, 9469 + ... + 15827.

It is an arithmetic number, because the mean of its divisors is an integer number (3434400).

Almost surely, 280428632 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 80428632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109900800).

80428632 is an abundant number, since it is smaller than the sum of its proper divisors (139372968).

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

80428632 is a wasteful number, since it uses less digits than its factorization.

80428632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6416 (or 6412 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 80428632 is about 8968.2011574228. The cubic root of 80428632 is about 431.6551174011.

The spelling of 80428632 in words is "eighty million, four hundred twenty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 186 204 248 372 408 527 744 1054 1581 2108 3162 4216 6324 6359 12648 12718 19077 25436 38154 50872 76308 108103 152616 197129 216206 324309 394258 432412 591387 648618 788516 864824 1182774 1297236 1577032 2365548 2594472 3351193 4731096 6702386 10053579 13404772 20107158 26809544 40214316 80428632