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4975114800 = 2435210738747
BaseRepresentation
bin1001010001000101…
…00011101000110000
3110211201120000111010
410220202203220300
540142112133200
62141401550520
7234200530605
oct45042435060
913751500433
104975114800
112123360427
12b6a1a5440
13613957a16
14352a646ac
151e1b8d150
hex1288a3a30

4975114800 has 120 divisors (see below), whose sum is σ = 16086309696. Its totient is φ = 1314264320.

The previous prime is 4975114733. The next prime is 4975114817. The reversal of 4975114800 is 84115794.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109027 + ... + 147773.

Almost surely, 24975114800 is an apocalyptic number.

4975114800 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 4975114800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043154848).

4975114800 is an abundant number, since it is smaller than the sum of its proper divisors (11111194896).

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

4975114800 is a wasteful number, since it uses less digits than its factorization.

4975114800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38875 (or 38864 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 4975114800 is about 70534.4936892582. The cubic root of 4975114800 is about 1707.1343543149.

The spelling of 4975114800 in words is "four billion, nine hundred seventy-five million, one hundred fourteen thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 107 120 150 200 214 240 300 321 400 428 535 600 642 856 1070 1200 1284 1605 1712 2140 2568 2675 3210 4280 5136 5350 6420 8025 8560 10700 12840 16050 21400 25680 32100 38747 42800 64200 77494 116241 128400 154988 193735 232482 309976 387470 464964 581205 619952 774940 929928 968675 1162410 1549880 1859856 1937350 2324820 2906025 3099760 3874700 4145929 4649640 5812050 7749400 8291858 9299280 11624100 12437787 15498800 16583716 20729645 23248200 24875574 33167432 41459290 46496400 49751148 62188935 66334864 82918580 99502296 103648225 124377870 165837160 199004592 207296450 248755740 310944675 331674320 414592900 497511480 621889350 829185800 995022960 1243778700 1658371600 2487557400 4975114800