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30788082 = 23213229349
BaseRepresentation
bin111010101110…
…0100111110010
32010221012022100
41311130213302
530340204312
63015521230
7522460113
oct165344762
963835270
1030788082
11164195a6
12a389216
1364bc900
14413620a
152a825dc
hex1d5c9f2

30788082 has 72 divisors (see below), whose sum is σ = 74938500. Its totient is φ = 9120384.

The previous prime is 30788081. The next prime is 30788119. The reversal of 30788082 is 28088703.

It can be written as a sum of positive squares in 6 ways, for example, as 7834401 + 22953681 = 2799^2 + 4791^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (30788081) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88044 + ... + 88392.

Almost surely, 230788082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30788082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37469250).

30788082 is an abundant number, since it is smaller than the sum of its proper divisors (44150418).

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

30788082 is a wasteful number, since it uses less digits than its factorization.

30788082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 30788082 is about 5548.7009290464. The cubic root of 30788082 is about 313.4206051857.

The spelling of 30788082 in words is "thirty million, seven hundred eighty-eight thousand, eighty-two".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 169 174 234 261 338 349 377 507 522 698 754 1014 1047 1131 1521 2094 2262 3042 3141 3393 4537 4901 6282 6786 9074 9802 10121 13611 14703 20242 27222 29406 30363 40833 44109 58981 60726 81666 88218 91089 117962 131573 176943 182178 263146 353886 394719 530829 789438 1061658 1184157 1710449 2368314 3420898 5131347 10262694 15394041 30788082