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30082896 = 24322331293
BaseRepresentation
bin111001011000…
…0011101010000
32002121100222100
41302300131100
530200123041
62552440400
7513462144
oct162603520
962540870
1030082896
1115a877a8
12a0a9100
13630393c
143dd1224
1529936b6
hex1cb0750

30082896 has 120 divisors (see below), whose sum is σ = 90994176. Its totient is φ = 9250560.

The previous prime is 30082883. The next prime is 30082907. The reversal of 30082896 is 69828003.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30082896.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102526 + ... + 102818.

Almost surely, 230082896 is an apocalyptic number.

30082896 is a gapful number since it is divisible by the number (36) 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 30082896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45497088).

30082896 is an abundant number, since it is smaller than the sum of its proper divisors (60911280).

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

30082896 is a wasteful number, since it uses less digits than its factorization.

30082896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 30082896 is about 5484.7876896011. The cubic root of 30082896 is about 311.0091842216.

The spelling of 30082896 in words is "thirty million, eighty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 31 36 46 48 62 69 72 92 93 124 138 144 184 186 207 248 276 279 293 368 372 414 496 552 558 586 713 744 828 879 1104 1116 1172 1426 1488 1656 1758 2139 2232 2344 2637 2852 3312 3516 4278 4464 4688 5274 5704 6417 6739 7032 8556 9083 10548 11408 12834 13478 14064 17112 18166 20217 21096 25668 26956 27249 34224 36332 40434 42192 51336 53912 54498 60651 72664 80868 81747 102672 107824 108996 121302 145328 161736 163494 208909 217992 242604 323472 326988 417818 435984 485208 626727 653976 835636 970416 1253454 1307952 1671272 1880181 2506908 3342544 3760362 5013816 7520724 10027632 15041448 30082896