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83325528 = 233211138093
BaseRepresentation
bin1001111011101…
…11001001011000
312210210101010200
410331313021120
5132312404103
612133542200
72031153366
oct475671130
9183711120
1083325528
1143042780
1223aa4960
1314355c60
14b0d0636
1574ae0a3
hex4f77258

83325528 has 96 divisors (see below), whose sum is σ = 265159440. Its totient is φ = 23304960.

The previous prime is 83325499. The next prime is 83325533. The reversal of 83325528 is 82552338.

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 = 83325492 and 83325501.

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, 6250 + ... + 14342.

Almost surely, 283325528 is an apocalyptic number.

83325528 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 83325528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132579720).

83325528 is an abundant number, since it is smaller than the sum of its proper divisors (181833912).

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

83325528 is a wasteful number, since it uses less digits than its factorization.

83325528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8129 (or 8122 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 83325528 is about 9128.2817660280. The cubic root of 83325528 is about 436.7765947689.

The spelling of 83325528 in words is "eighty-three million, three hundred twenty-five thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 5148 8093 10296 16186 24279 32372 48558 64744 72837 89023 97116 105209 145674 178046 194232 210418 267069 291348 315627 356092 420836 534138 582696 631254 712184 801207 841672 946881 1068276 1157299 1262508 1602414 1893762 2136552 2314598 2525016 3204828 3471897 3787524 4629196 6409656 6943794 7575048 9258392 10415691 13887588 20831382 27775176 41662764 83325528