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925083424 = 25174371557
BaseRepresentation
bin110111001000111…
…010011100100000
32101110201002220001
4313020322130200
53343310132144
6231443425344
731632036136
oct6710723440
92343632801
10925083424
11435204961
12219985254
13119869855
148ac09756
1556333bd4
hex3723a720

925083424 has 96 divisors (see below), whose sum is σ = 2004621696. Its totient is φ = 418467840.

The previous prime is 925083421. The next prime is 925083463. The reversal of 925083424 is 424380529.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (925083421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1660554 + ... + 1661110.

It is an arithmetic number, because the mean of its divisors is an integer number (20881476).

Almost surely, 2925083424 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 925083424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002310848).

925083424 is an abundant number, since it is smaller than the sum of its proper divisors (1079538272).

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

925083424 is a wasteful number, since it uses less digits than its factorization.

925083424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 925083424 is about 30415.1841026813. The cubic root of 925083424 is about 974.3768708284.

The spelling of 925083424 in words is "nine hundred twenty-five million, eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 43 68 71 86 136 142 172 272 284 344 544 557 568 688 731 1114 1136 1207 1376 1462 2228 2272 2414 2924 3053 4456 4828 5848 6106 8912 9469 9656 11696 12212 17824 18938 19312 23392 23951 24424 37876 38624 39547 47902 48848 51901 75752 79094 95804 97696 103802 151504 158188 191608 207604 303008 316376 383216 407167 415208 632752 672299 766432 814334 830416 1265504 1344598 1628668 1660832 1700521 2689196 3257336 3401042 5378392 6514672 6802084 10756784 13029344 13604168 21513568 27208336 28908857 54416672 57817714 115635428 231270856 462541712 925083424