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2042030848 = 2811313461
BaseRepresentation
bin111100110110110…
…1110101100000000
312021022102220201011
41321231232230000
513140224441343
6534343450304
7101413655464
oct17155565400
95238386634
102042030848
11958745000
1248ba56994
132670a23a0
141552ba4a4
15be41629d
hex79b6eb00

2042030848 has 144 divisors (see below), whose sum is σ = 4838736672. Its totient is φ = 854937600.

The previous prime is 2042030813. The next prime is 2042030857. The reversal of 2042030848 is 8480302402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4429338 + ... + 4429798.

It is an arithmetic number, because the mean of its divisors is an integer number (33602338).

Almost surely, 22042030848 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 2042030848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419368336).

2042030848 is an abundant number, since it is smaller than the sum of its proper divisors (2796705824).

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

2042030848 is an equidigital number, since it uses as much as digits as its factorization.

2042030848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 2042030848 is about 45188.8354353152. The cubic root of 2042030848 is about 1268.6858599492.

The spelling of 2042030848 in words is "two billion, forty-two million, thirty thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 121 128 143 176 208 242 256 286 352 416 461 484 572 704 832 922 968 1144 1331 1408 1573 1664 1844 1936 2288 2662 2816 3146 3328 3688 3872 4576 5071 5324 5993 6292 7376 7744 9152 10142 10648 11986 12584 14752 15488 17303 18304 20284 21296 23972 25168 29504 30976 34606 36608 40568 42592 47944 50336 55781 59008 65923 69212 81136 85184 95888 100672 111562 118016 131846 138424 162272 170368 191776 201344 223124 263692 276848 324544 340736 383552 402688 446248 527384 553696 613591 649088 725153 767104 892496 1054768 1107392 1227182 1298176 1450306 1534208 1784992 2109536 2214784 2454364 2900612 3569984 4219072 4429568 4908728 5801224 7139968 7976683 8438144 9817456 11602448 14279936 15953366 16876288 19634912 23204896 31906732 39269824 46409792 63813464 78539648 92819584 127626928 157079296 185639168 255253856 510507712 1021015424 2042030848