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80091828 = 22351737131
BaseRepresentation
bin1001100011000…
…01101010110100
312120201002100000
410301201222310
5131000414303
611540351300
71661524605
oct461415264
9176632300
1080091828
11412341a3
12229a5530
131379311b
14a8cbdac
157070da3
hex4c61ab4

80091828 has 144 divisors (see below), whose sum is σ = 230053824. Its totient is φ = 24261120.

The previous prime is 80091799. The next prime is 80091853. The reversal of 80091828 is 82819008.

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

It is a junction number, because it is equal to n+sod(n) for n = 80091792 and 80091801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611323 + ... + 611453.

It is an arithmetic number, because the mean of its divisors is an integer number (1597596).

Almost surely, 280091828 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 80091828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115026912).

80091828 is an abundant number, since it is smaller than the sum of its proper divisors (149961996).

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

80091828 is a wasteful number, since it uses less digits than its factorization.

80091828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 80091828 is about 8949.4037790235. The cubic root of 80091828 is about 431.0517394906.

The spelling of 80091828 in words is "eighty million, ninety-one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 37 51 54 68 74 81 102 108 111 131 148 153 162 204 222 243 262 306 324 333 393 444 459 486 524 612 629 666 786 918 972 999 1179 1258 1332 1377 1572 1836 1887 1998 2227 2358 2516 2754 2997 3537 3774 3996 4131 4454 4716 4847 5508 5661 5994 6681 7074 7548 8262 8908 8991 9694 10611 11322 11988 13362 14148 14541 16524 16983 17982 19388 20043 21222 22644 26724 29082 31833 33966 35964 40086 42444 43623 50949 58164 60129 63666 67932 80172 82399 87246 101898 120258 127332 130869 152847 164798 174492 180387 203796 240516 247197 261738 305694 329596 360774 392607 494394 523476 541161 611388 721548 741591 785214 988788 1082322 1177821 1483182 1570428 2164644 2224773 2355642 2966364 4449546 4711284 6674319 8899092 13348638 20022957 26697276 40045914 80091828