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80928768 = 21333789
BaseRepresentation
bin1001101001011…
…10000000000000
312122021121101210
410310232000000
5131204210033
612010330120
72001611634
oct464560000
9178247353
1080928768
1141755a88
1223129940
13139c705b
14aa68dc4
157188d63
hex4d2e000

80928768 has 112 divisors (see below), whose sum is σ = 224119440. Its totient is φ = 25952256.

The previous prime is 80928767. The next prime is 80928773. The reversal of 80928768 is 86782908.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80928767) 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, 909268 + ... + 909356.

Almost surely, 280928768 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 80928768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112059720).

80928768 is an abundant number, since it is smaller than the sum of its proper divisors (143190672).

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

80928768 is an equidigital number, since it uses as much as digits as its factorization.

80928768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 80928768 is about 8996.0417962568. The cubic root of 80928768 is about 432.5480013994.

The spelling of 80928768 in words is "eighty million, nine hundred twenty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 89 96 111 128 148 178 192 222 256 267 296 356 384 444 512 534 592 712 768 888 1024 1068 1184 1424 1536 1776 2048 2136 2368 2848 3072 3293 3552 4096 4272 4736 5696 6144 6586 7104 8192 8544 9472 9879 11392 12288 13172 14208 17088 18944 19758 22784 24576 26344 28416 34176 37888 39516 45568 52688 56832 68352 75776 79032 91136 105376 113664 136704 151552 158064 182272 210752 227328 273408 303104 316128 364544 421504 454656 546816 632256 729088 843008 909312 1093632 1264512 1686016 2187264 2529024 3372032 5058048 6744064 10116096 13488128 20232192 26976256 40464384 80928768