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4994743200 = 253527432801
BaseRepresentation
bin1001010011011010…
…11011101110100000
3110220002111020120220
410221231123232200
540212123240300
62143342403040
7234526421346
oct45155335640
913802436526
104994743200
112133447547
12b74890480
13617a3ac65
143554d3996
151e3768da0
hex129b5bba0

4994743200 has 144 divisors (see below), whose sum is σ = 16285582656. Its totient is φ = 1329664000.

The previous prime is 4994743189. The next prime is 4994743253. The reversal of 4994743200 is 23474994.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1781800 + ... + 1784600.

It is an arithmetic number, because the mean of its divisors is an integer number (113094324).

Almost surely, 24994743200 is an apocalyptic number.

4994743200 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 4994743200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8142791328).

4994743200 is an abundant number, since it is smaller than the sum of its proper divisors (11290839456).

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

4994743200 is a wasteful number, since it uses less digits than its factorization.

4994743200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 4994743200 is about 70673.4971541666. The cubic root of 4994743200 is about 1709.3764697685.

The spelling of 4994743200 in words is "four billion, nine hundred ninety-four million, seven hundred forty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 743 800 1200 1486 2229 2400 2801 2972 3715 4458 5602 5944 7430 8403 8916 11145 11204 11888 14005 14860 16806 17832 18575 22290 22408 23776 28010 29720 33612 35664 37150 42015 44580 44816 55725 56020 59440 67224 70025 71328 74300 84030 89160 89632 111450 112040 118880 134448 140050 148600 168060 178320 210075 222900 224080 268896 280100 297200 336120 356640 420150 445800 448160 560200 594400 672240 840300 891600 1120400 1344480 1680600 1783200 2081143 2240800 3361200 4162286 6243429 6722400 8324572 10405715 12486858 16649144 20811430 24973716 31217145 33298288 41622860 49947432 52028575 62434290 66596576 83245720 99894864 104057150 124868580 156085725 166491440 199789728 208114300 249737160 312171450 332982880 416228600 499474320 624342900 832457200 998948640 1248685800 1664914400 2497371600 4994743200