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1038425640 = 23357325229
BaseRepresentation
bin111101111001010…
…001111000101000
32200100222111011220
4331321101320220
54111314110030
6251013022040
734506321000
oct7571217050
92610874156
101038425640
1149318960a
1224b924920
131371a2255
149bcb1000
1561271a10
hex3de51e28

1038425640 has 128 divisors (see below), whose sum is σ = 3633120000. Its totient is φ = 237345024.

The previous prime is 1038425629. The next prime is 1038425701. The reversal of 1038425640 is 465248301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28546 + ... + 53774.

It is an arithmetic number, because the mean of its divisors is an integer number (28383750).

Almost surely, 21038425640 is an apocalyptic number.

1038425640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1038425640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816560000).

1038425640 is an abundant number, since it is smaller than the sum of its proper divisors (2594694360).

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

1038425640 is a wasteful number, since it uses less digits than its factorization.

1038425640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25264 (or 25246 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 1038425640 is about 32224.6123328117. The cubic root of 1038425640 is about 1012.6479027955.

The spelling of 1038425640 in words is "one billion, thirty-eight million, four hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 343 392 420 490 588 686 735 840 980 1029 1176 1372 1470 1715 1960 2058 2744 2940 3430 4116 5145 5880 6860 8232 10290 13720 20580 25229 41160 50458 75687 100916 126145 151374 176603 201832 252290 302748 353206 378435 504580 529809 605496 706412 756870 883015 1009160 1059618 1236221 1412824 1513740 1766030 2119236 2472442 2649045 3027480 3532060 3708663 4238472 4944884 5298090 6181105 7064120 7417326 8653547 9889768 10596180 12362210 14834652 17307094 18543315 21192360 24724420 25960641 29669304 34614188 37086630 43267735 49448840 51921282 69228376 74173260 86535470 103842564 129803205 148346520 173070940 207685128 259606410 346141880 519212820 1038425640