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30733248 = 2637131759
BaseRepresentation
bin111010100111…
…1001111000000
32010211102002110
41311033033000
530331430443
63014415320
7522141210
oct165171700
963742073
1030733248
1116391387
12a361540
1364a0970
144120240
152a71233
hex1d4f3c0

30733248 has 112 divisors (see below), whose sum is σ = 100136960. Its totient is φ = 8100864.

The previous prime is 30733247. The next prime is 30733259. The reversal of 30733248 is 84233703.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30733247) by changing a digit.

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, 16593 + ... + 18351.

It is an arithmetic number, because the mean of its divisors is an integer number (894080).

Almost surely, 230733248 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 30733248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50068480).

30733248 is an abundant number, since it is smaller than the sum of its proper divisors (69403712).

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

30733248 is a wasteful number, since it uses less digits than its factorization.

30733248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 30733248 is about 5543.7575704571. The cubic root of 30733248 is about 313.2344258012.

The spelling of 30733248 in words is "thirty million, seven hundred thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 1759 2184 2496 2912 3518 4368 5277 5824 7036 8736 10554 12313 14072 17472 21108 22867 24626 28144 36939 42216 45734 49252 56288 68601 73878 84432 91468 98504 112576 137202 147756 160069 168864 182936 197008 274404 295512 320138 337728 365872 394016 480207 548808 591024 640276 731744 788032 960414 1097616 1182048 1280552 1463488 1920828 2195232 2364096 2561104 3841656 4390464 5122208 7683312 10244416 15366624 30733248