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80872440 = 233511197311
BaseRepresentation
bin1001101001000…
…00001111111000
312122011202010120
410310200033320
5131200404230
612005213240
72001255465
oct464401770
9178152116
1080872440
1141717730
1223101220
13139a751c
14aa5266c
157177310
hex4d203f8

80872440 has 128 divisors (see below), whose sum is σ = 266872320. Its totient is φ = 19443200.

The previous prime is 80872433. The next prime is 80872453. The reversal of 80872440 is 4427808.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259885 + ... + 260195.

It is an arithmetic number, because the mean of its divisors is an integer number (2084940).

Almost surely, 280872440 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 80872440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133436160).

80872440 is an abundant number, since it is smaller than the sum of its proper divisors (185999880).

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

80872440 is a wasteful number, since it uses less digits than its factorization.

80872440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 80872440 is about 8992.9105410874. The cubic root of 80872440 is about 432.4476241608.

The spelling of 80872440 in words is "eighty million, eight hundred seventy-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 197 220 264 311 330 394 440 591 622 660 788 933 985 1182 1244 1320 1555 1576 1866 1970 2167 2364 2488 2955 3110 3421 3732 3940 4334 4665 4728 5910 6220 6501 6842 7464 7880 8668 9330 10263 10835 11820 12440 13002 13684 17105 17336 18660 20526 21670 23640 26004 27368 32505 34210 37320 41052 43340 51315 52008 61267 65010 68420 82104 86680 102630 122534 130020 136840 183801 205260 245068 260040 306335 367602 410520 490136 612670 673937 735204 919005 1225340 1347874 1470408 1838010 2021811 2450680 2695748 3369685 3676020 4043622 5391496 6739370 7352040 8087244 10109055 13478740 16174488 20218110 26957480 40436220 80872440