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930235488 = 25371328191
BaseRepresentation
bin110111011100100…
…100010001100000
32101211101212012020
4313130210101200
53401120013423
6232150101440
732023604550
oct6734442140
92354355166
10930235488
11438103766
1221b64a880
1311a951900
148b78b160
1556a004e3
hex37724460

930235488 has 144 divisors (see below), whose sum is σ = 3022258176. Its totient is φ = 245306880.

The previous prime is 930235487. The next prime is 930235541. The reversal of 930235488 is 884532039.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930235487) 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 23 ways as a sum of consecutive naturals, for example, 109473 + ... + 117663.

It is an arithmetic number, because the mean of its divisors is an integer number (20987904).

Almost surely, 2930235488 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 930235488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511129088).

930235488 is an abundant number, since it is smaller than the sum of its proper divisors (2092022688).

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

930235488 is a wasteful number, since it uses less digits than its factorization.

930235488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8237 (or 8216 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 930235488 is about 30499.7620974328. The cubic root of 930235488 is about 976.1823877546.

The spelling of 930235488 in words is "nine hundred thirty million, two hundred thirty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 169 182 208 224 273 312 336 338 364 416 507 546 624 672 676 728 1014 1092 1183 1248 1352 1456 2028 2184 2366 2704 2912 3549 4056 4368 4732 5408 7098 8112 8191 8736 9464 14196 16224 16382 18928 24573 28392 32764 37856 49146 56784 57337 65528 98292 106483 113568 114674 131056 172011 196584 212966 229348 262112 319449 344022 393168 425932 458696 638898 688044 745381 786336 851864 917392 1277796 1376088 1384279 1490762 1703728 1834784 2236143 2555592 2752176 2768558 2981524 3407456 4152837 4472286 5111184 5504352 5537116 5963048 8305674 8944572 9689953 10222368 11074232 11926096 16611348 17889144 19379906 22148464 23852192 29069859 33222696 35778288 38759812 44296928 58139718 66445392 71556576 77519624 116279436 132890784 155039248 232558872 310078496 465117744 930235488