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30607248 = 2437711283
BaseRepresentation
bin111010011000…
…0011110010000
32010121000020210
41310300132100
530313412443
63012004120
7521104650
oct164603620
963530223
1030607248
1116305751
12a300640
1364584c9
1440ca360
152a48c33
hex1d30790

30607248 has 80 divisors (see below), whose sum is σ = 91708416. Its totient is φ = 8615040.

The previous prime is 30607237. The next prime is 30607249. The reversal of 30607248 is 84270603.

It is not an unprimeable number, because it can be changed into a prime (30607249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23215 + ... + 24497.

Almost surely, 230607248 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 30607248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45854208).

30607248 is an abundant number, since it is smaller than the sum of its proper divisors (61101168).

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

30607248 is a wasteful number, since it uses less digits than its factorization.

30607248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 30607248 is about 5532.3817655690. The cubic root of 30607248 is about 312.8057738832.

The spelling of 30607248 in words is "thirty million, six hundred seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 426 497 568 852 994 1136 1283 1491 1704 1988 2566 2982 3408 3849 3976 5132 5964 7698 7952 8981 10264 11928 15396 17962 20528 23856 26943 30792 35924 53886 61584 71848 91093 107772 143696 182186 215544 273279 364372 431088 546558 637651 728744 1093116 1275302 1457488 1912953 2186232 2550604 3825906 4372464 5101208 7651812 10202416 15303624 30607248