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1040422992 = 243731591693
BaseRepresentation
bin111110000000111…
…001100001010000
32200111201222000220
4332000321201100
54112322013432
6251123513040
734532310120
oct7600714120
92614658026
101040422992
11494323214
12250528780
1313772140b
149c270c80
156151872c
hex3e039850

1040422992 has 160 divisors (see below), whose sum is σ = 3226460160. Its totient is φ = 282631680.

The previous prime is 1040422949. The next prime is 1040422993. The reversal of 1040422992 is 2992240401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040422993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 613698 + ... + 615390.

It is an arithmetic number, because the mean of its divisors is an integer number (20165376).

Almost surely, 21040422992 is an apocalyptic number.

1040422992 is a gapful number since it is divisible by the number (12) 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 1040422992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613230080).

1040422992 is an abundant number, since it is smaller than the sum of its proper divisors (2186037168).

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

1040422992 is a wasteful number, since it uses less digits than its factorization.

1040422992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1040422992 is about 32255.5885390423. The cubic root of 1040422992 is about 1013.2967436388.

The spelling of 1040422992 in words is "one billion, forty million, four hundred twenty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 59 62 84 93 112 118 124 168 177 186 217 236 248 336 354 372 413 434 472 496 651 708 744 826 868 944 1239 1302 1416 1488 1652 1693 1736 1829 2478 2604 2832 3304 3386 3472 3658 4956 5079 5208 5487 6608 6772 7316 9912 10158 10416 10974 11851 12803 13544 14632 19824 20316 21948 23702 25606 27088 29264 35553 38409 40632 43896 47404 51212 52483 71106 76818 81264 87792 94808 99887 102424 104966 142212 153636 157449 189616 199774 204848 209932 284424 299661 307272 314898 367381 399548 419864 568848 599322 614544 629796 699209 734762 799096 839728 1102143 1198644 1259592 1398418 1469524 1598192 2097627 2204286 2397288 2519184 2796836 2939048 3096497 4195254 4408572 4794576 5593672 5878096 6192994 8390508 8817144 9289491 11187344 12385988 16781016 17634288 18578982 21675479 24771976 33562032 37157964 43350958 49543952 65026437 74315928 86701916 130052874 148631856 173403832 260105748 346807664 520211496 1040422992