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80574208 = 2811133171
BaseRepresentation
bin1001100110101…
…11011100000000
312121121121000221
410303113130000
5131111333313
611554552424
71665604141
oct463273400
9177547027
1080574208
1141533660
1222b98714
1313901860
14a9b5ac8
157118c8d
hex4cd7700

80574208 has 144 divisors (see below), whose sum is σ = 197793792. Its totient is φ = 32256000.

The previous prime is 80574199. The next prime is 80574211. The reversal of 80574208 is 80247508.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1134813 + ... + 1134883.

It is an arithmetic number, because the mean of its divisors is an integer number (1373568).

Almost surely, 280574208 is an apocalyptic number.

80574208 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80574208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98896896).

80574208 is an abundant number, since it is smaller than the sum of its proper divisors (117219584).

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

80574208 is a wasteful number, since it uses less digits than its factorization.

80574208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 80574208 is about 8976.3137200078. The cubic root of 80574208 is about 431.9153926671.

The spelling of 80574208 in words is "eighty million, five hundred seventy-four thousand, two hundred eight".

Divisors: 1 2 4 8 11 13 16 22 26 31 32 44 52 62 64 71 88 104 124 128 142 143 176 208 248 256 284 286 341 352 403 416 496 568 572 682 704 781 806 832 923 992 1136 1144 1364 1408 1562 1612 1664 1846 1984 2201 2272 2288 2728 2816 3124 3224 3328 3692 3968 4402 4433 4544 4576 5456 6248 6448 7384 7936 8804 8866 9088 9152 10153 10912 12496 12896 14768 17608 17732 18176 18304 20306 21824 24211 24992 25792 28613 29536 35216 35464 36608 40612 43648 48422 49984 51584 57226 59072 70432 70928 81224 87296 96844 99968 103168 114452 118144 140864 141856 162448 193688 199936 228904 236288 281728 283712 314743 324896 387376 457808 563456 567424 629486 649792 774752 915616 1134848 1258972 1299584 1549504 1831232 2517944 2599168 3099008 3662464 5035888 6198016 7324928 10071776 20143552 40287104 80574208