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80648436 = 22311267829
BaseRepresentation
bin1001100111010…
…01100011110100
312121202100212010
410303221203310
5131121222221
612000324220
71666333431
oct463514364
9177670763
1080648436
1141584400
1223013670
131392958b
14a9d4b88
157130c76
hex4ce98f4

80648436 has 72 divisors (see below), whose sum is σ = 210182560. Its totient is φ = 24045120.

The previous prime is 80648431. The next prime is 80648437. The reversal of 80648436 is 63484608.

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 junction number, because it is equal to n+sod(n) for n = 80648394 and 80648403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80648431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96870 + ... + 97698.

Almost surely, 280648436 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 80648436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105091280).

80648436 is an abundant number, since it is smaller than the sum of its proper divisors (129534124).

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

80648436 is a wasteful number, since it uses less digits than its factorization.

80648436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 80648436 is about 8980.4474276063. The cubic root of 80648436 is about 432.0479842104.

The spelling of 80648436 in words is "eighty million, six hundred forty-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 121 132 134 201 242 268 363 402 484 726 737 804 829 1452 1474 1658 2211 2487 2948 3316 4422 4974 8107 8844 9119 9948 16214 18238 24321 27357 32428 36476 48642 54714 55543 97284 100309 109428 111086 166629 200618 222172 300927 333258 401236 601854 610973 666516 1203708 1221946 1832919 2443892 3665838 6720703 7331676 13441406 20162109 26882812 40324218 80648436