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2484929000 = 235331711129
BaseRepresentation
bin1001010000011101…
…0000000111101000
320102011211110202102
42110013100013220
520042120212000
61050324352532
7115402355651
oct22407200750
96364743672
102484929000
11106574aa34
12594245748
13307a836b8
1419804a528
15e82503d5
hex941d01e8

2484929000 has 128 divisors (see below), whose sum is σ = 6092236800. Its totient is φ = 947520000.

The previous prime is 2484928967. The next prime is 2484929011. The reversal of 2484929000 is 9294842.

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, 2200436 + ... + 2201564.

It is an arithmetic number, because the mean of its divisors is an integer number (47595600).

Almost surely, 22484929000 is an apocalyptic number.

2484929000 is a gapful number since it is divisible by the number (20) 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 2484929000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046118400).

2484929000 is an abundant number, since it is smaller than the sum of its proper divisors (3607307800).

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

2484929000 is a wasteful number, since it uses less digits than its factorization.

2484929000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 2484929000 is about 49849.0621777381. The cubic root of 2484929000 is about 1354.4760436592.

The spelling of 2484929000 in words is "two billion, four hundred eighty-four million, nine hundred twenty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 71 100 124 125 142 155 200 248 250 284 310 355 500 568 620 710 775 1000 1129 1240 1420 1550 1775 2201 2258 2840 3100 3550 3875 4402 4516 5645 6200 7100 7750 8804 8875 9032 11005 11290 14200 15500 17608 17750 22010 22580 28225 31000 34999 35500 44020 45160 55025 56450 69998 71000 80159 88040 110050 112900 139996 141125 160318 174995 220100 225800 275125 279992 282250 320636 349990 400795 440200 550250 564500 641272 699980 801590 874975 1100500 1129000 1399960 1603180 1749950 2003975 2201000 2484929 3206360 3499900 4007950 4374875 4969858 6999800 8015900 8749750 9939716 10019875 12424645 16031800 17499500 19879432 20039750 24849290 34999000 40079500 49698580 62123225 80159000 99397160 124246450 248492900 310616125 496985800 621232250 1242464500 2484929000