Search a number
-
+
30933252 = 2234723593
BaseRepresentation
bin111011000000…
…0000100000100
32011012120110000
41312000010010
530404331002
63023001300
7523633260
oct166000404
964176400
1030933252
1116508679
12a439230
1365409cc
1441730a0
152ab061c
hex1d80104

30933252 has 120 divisors (see below), whose sum is σ = 96598656. Its totient is φ = 8439552.

The previous prime is 30933223. The next prime is 30933281. The reversal of 30933252 is 25233903.

It is an interprime number because it is at equal distance from previous prime (30933223) and next prime (30933281).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51868 + ... + 52460.

Almost surely, 230933252 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 30933252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48299328).

30933252 is an abundant number, since it is smaller than the sum of its proper divisors (65665404).

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

30933252 is a wasteful number, since it uses less digits than its factorization.

30933252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 30933252 is about 5561.7669854103. The cubic root of 30933252 is about 313.9124399184.

The spelling of 30933252 in words is "thirty million, nine hundred thirty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 81 84 92 108 126 138 161 162 189 207 252 276 322 324 378 414 483 567 593 621 644 756 828 966 1134 1186 1242 1449 1779 1863 1932 2268 2372 2484 2898 3558 3726 4151 4347 5337 5796 7116 7452 8302 8694 10674 12453 13041 13639 16011 16604 17388 21348 24906 26082 27278 32022 37359 40917 48033 49812 52164 54556 64044 74718 81834 95473 96066 112077 122751 149436 163668 190946 192132 224154 245502 286419 336231 368253 381892 448308 491004 572838 672462 736506 859257 1104759 1145676 1344924 1473012 1718514 2209518 2577771 3437028 4419036 5155542 7733313 10311084 15466626 30933252