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75066992 = 247111343109
BaseRepresentation
bin1000111100101…
…10111001110000
312020020210112222
410132112321300
5123204120432
611240540212
71601026130
oct436267160
9166223488
1075066992
1139411a40
1221181668
1312723c50
149d80ac0
1568cc112
hex4796e70

75066992 has 160 divisors (see below), whose sum is σ = 201653760. Its totient is φ = 26127360.

The previous prime is 75066989. The next prime is 75067007. The reversal of 75066992 is 29966057.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 688634 + ... + 688742.

It is an arithmetic number, because the mean of its divisors is an integer number (1260336).

Almost surely, 275066992 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 75066992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100826880).

75066992 is an abundant number, since it is smaller than the sum of its proper divisors (126586768).

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

75066992 is a wasteful number, since it uses less digits than its factorization.

75066992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 44.

The square root of 75066992 is about 8664.1209594511. The cubic root of 75066992 is about 421.8418580421.

The spelling of 75066992 in words is "seventy-five million, sixty-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 43 44 52 56 77 86 88 91 104 109 112 143 154 172 176 182 208 218 286 301 308 344 364 436 473 559 572 602 616 688 728 763 872 946 1001 1118 1144 1199 1204 1232 1417 1456 1526 1744 1892 2002 2236 2288 2398 2408 2834 3052 3311 3784 3913 4004 4472 4687 4796 4816 5668 6104 6149 6622 7568 7826 8008 8393 8944 9374 9592 9919 11336 12208 12298 13244 15587 15652 16016 16786 18748 19184 19838 22672 24596 26488 31174 31304 32809 33572 37496 39676 43043 49192 51557 52976 60931 62348 62608 65618 67144 74992 79352 86086 98384 103114 109109 121862 124696 131236 134288 158704 172172 206228 218218 243724 249392 262472 344344 360899 412456 426517 436436 487448 524944 670241 688688 721798 824912 853034 872872 974896 1340482 1443596 1706068 1745744 2680964 2887192 3412136 4691687 5361928 5774384 6824272 9383374 10723856 18766748 37533496 75066992