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80485632 = 2832181193
BaseRepresentation
bin1001100110000…
…01110100000000
312121110002112100
410303001310000
5131101020012
611553030400
71665054663
oct463016400
9177402470
1080485632
1141483057
1222b55400
13138a0446
14a9916da
1570ec8dc
hex4cc1d00

80485632 has 108 divisors (see below), whose sum is σ = 234551044. Its totient is φ = 26542080.

The previous prime is 80485631. The next prime is 80485663. The reversal of 80485632 is 23658408.

It can be written as a sum of positive squares in 2 ways, for example, as 7485696 + 72999936 = 2736^2 + 8544^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80485631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 416928 + ... + 417120.

Almost surely, 280485632 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 80485632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117275522).

80485632 is an abundant number, since it is smaller than the sum of its proper divisors (154065412).

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

80485632 is a wasteful number, since it uses less digits than its factorization.

80485632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 80485632 is about 8971.3784893962. The cubic root of 80485632 is about 431.7570650574.

It can be divided in two parts, 804 and 85632, that added together give a square (86436 = 2942).

The spelling of 80485632 in words is "eighty million, four hundred eighty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 181 192 193 256 288 362 384 386 543 576 579 724 768 772 1086 1152 1158 1448 1544 1629 1737 2172 2304 2316 2896 3088 3258 3474 4344 4632 5792 6176 6516 6948 8688 9264 11584 12352 13032 13896 17376 18528 23168 24704 26064 27792 34752 34933 37056 46336 49408 52128 55584 69504 69866 74112 104256 104799 111168 139008 139732 148224 208512 209598 222336 279464 314397 417024 419196 444672 558928 628794 838392 1117856 1257588 1676784 2235712 2515176 3353568 4471424 5030352 6707136 8942848 10060704 13414272 20121408 26828544 40242816 80485632