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4984628400 = 2432521384619
BaseRepresentation
bin1001010010001101…
…10110010010110000
3110212101110100200200
410221012312102300
540202031102100
62142341515200
7234344433213
oct45106662260
913771410620
104984628400
112128769104
12b71412b00
1361590907b
1435401d77a
151e291be00
hex1291b64b0

4984628400 has 90 divisors (see below), whose sum is σ = 17298057660. Its totient is φ = 1329233280.

The previous prime is 4984628377. The next prime is 4984628417. The reversal of 4984628400 is 48264894.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 688710 + ... + 695909.

Almost surely, 24984628400 is an apocalyptic number.

4984628400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4984628400 is an abundant number, since it is smaller than the sum of its proper divisors (12313429260).

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

4984628400 is a wasteful number, since it uses less digits than its factorization.

4984628400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384643 (or 1384629 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4984628400 is about 70601.9008242696. The cubic root of 4984628400 is about 1708.2218101035.

The spelling of 4984628400 in words is "four billion, nine hundred eighty-four million, six hundred twenty-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 1384619 2769238 4153857 5538476 6923095 8307714 11076952 12461571 13846190 16615428 20769285 22153904 24923142 27692380 33230856 34615475 41538570 49846284 55384760 62307855 66461712 69230950 83077140 99692568 103846425 110769520 124615710 138461900 166154280 199385136 207692850 249231420 276923800 311539275 332308560 415385700 498462840 553847600 623078550 830771400 996925680 1246157100 1661542800 2492314200 4984628400