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80473824 = 253579131
BaseRepresentation
bin1001100101111…
…10111011100000
312121102111100000
410302332323200
5131100130244
611552500000
71665005364
oct462767340
9177374300
1080473824
11414751a2
1222b4a600
1313897c62
14a98b2a4
1570e9169
hex4cbeee0

80473824 has 144 divisors (see below), whose sum is σ = 242161920. Its totient is φ = 26282880.

The previous prime is 80473807. The next prime is 80473831. The reversal of 80473824 is 42837408.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 614239 + ... + 614369.

It is an arithmetic number, because the mean of its divisors is an integer number (1681680).

Almost surely, 280473824 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 80473824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121080960).

80473824 is an abundant number, since it is smaller than the sum of its proper divisors (161688096).

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

80473824 is a wasteful number, since it uses less digits than its factorization.

80473824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 80473824 is about 8970.7203724116. The cubic root of 80473824 is about 431.7359497492.

The spelling of 80473824 in words is "eighty million, four hundred seventy-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 81 96 108 131 144 158 162 216 237 243 262 288 316 324 393 432 474 486 524 632 648 711 786 864 948 972 1048 1179 1264 1296 1422 1572 1896 1944 2096 2133 2358 2528 2592 2844 3144 3537 3792 3888 4192 4266 4716 5688 6288 6399 7074 7584 7776 8532 9432 10349 10611 11376 12576 12798 14148 17064 18864 19197 20698 21222 22752 25596 28296 31047 31833 34128 37728 38394 41396 42444 51192 56592 62094 63666 68256 76788 82792 84888 93141 102384 113184 124188 127332 153576 165584 169776 186282 204768 248376 254664 279423 307152 331168 339552 372564 496752 509328 558846 614304 745128 838269 993504 1018656 1117692 1490256 1676538 2235384 2514807 2980512 3353076 4470768 5029614 6706152 8941536 10059228 13412304 20118456 26824608 40236912 80473824