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4785290240 = 21054991873
BaseRepresentation
bin1000111010011100…
…11011110000000000
3110100111100221010212
410131032123300000
534300013241430
62110501213252
7226404203333
oct43516336000
913314327125
104785290240
112036198425
12b16701228
135b35240b3
1433577061a
151d0193b95
hex11d39bc00

4785290240 has 88 divisors (see below), whose sum is σ = 11508234000. Its totient is φ = 1909260288.

The previous prime is 4785290221. The next prime is 4785290243. The reversal of 4785290240 is 420925874.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4785290243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2553944 + ... + 2555816.

Almost surely, 24785290240 is an apocalyptic number.

4785290240 is a gapful number since it is divisible by the number (40) 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 4785290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5754117000).

4785290240 is an abundant number, since it is smaller than the sum of its proper divisors (6722943760).

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

4785290240 is a wasteful number, since it uses less digits than its factorization.

4785290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 4785290240 is about 69175.7922975950. The cubic root of 4785290240 is about 1685.1404157038.

The spelling of 4785290240 in words is "four billion, seven hundred eighty-five million, two hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 499 512 640 998 1024 1280 1873 1996 2495 2560 3746 3992 4990 5120 7492 7984 9365 9980 14984 15968 18730 19960 29968 31936 37460 39920 59936 63872 74920 79840 119872 127744 149840 159680 239744 255488 299680 319360 479488 510976 599360 638720 934627 958976 1198720 1277440 1869254 1917952 2397440 2554880 3738508 4673135 4794880 7477016 9346270 9589760 14954032 18692540 29908064 37385080 59816128 74770160 119632256 149540320 239264512 299080640 478529024 598161280 957058048 1196322560 2392645120 4785290240