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30882448 = 24192931113
BaseRepresentation
bin111010111001…
…1101010010000
32011002222202101
41311303222100
530401214243
63021530144
7523332202
oct165635220
964088671
1030882448
1116483493
12a413954
13652384c
14415c772
152aa054d
hex1d73a90

30882448 has 80 divisors (see below), whose sum is σ = 67852800. Its totient is φ = 13547520.

The previous prime is 30882437. The next prime is 30882461. The reversal of 30882448 is 84428803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273240 + ... + 273352.

It is an arithmetic number, because the mean of its divisors is an integer number (848160).

Almost surely, 230882448 is an apocalyptic number.

30882448 is a gapful number since it is divisible by the number (38) 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 30882448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33926400).

30882448 is an abundant number, since it is smaller than the sum of its proper divisors (36970352).

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

30882448 is a wasteful number, since it uses less digits than its factorization.

30882448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 30882448 is about 5557.1978550345. The cubic root of 30882448 is about 313.7404917675.

The spelling of 30882448 in words is "thirty million, eight hundred eighty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 19 29 31 38 58 62 76 113 116 124 152 226 232 248 304 452 464 496 551 589 899 904 1102 1178 1798 1808 2147 2204 2356 3277 3503 3596 4294 4408 4712 6554 7006 7192 8588 8816 9424 13108 14012 14384 17081 17176 26216 28024 34162 34352 52432 56048 62263 66557 68324 101587 124526 133114 136648 203174 249052 266228 273296 406348 498104 532456 812696 996208 1064912 1625392 1930153 3860306 7720612 15441224 30882448