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4900126600 = 2352193141597
BaseRepresentation
bin1001001000001000…
…11111111110001000
3110122111110020000101
410210010133332020
540013413022400
62130122415144
7232300250245
oct44404377610
913574406011
104900126600
112094aa2706
12b490614b4
136012608c5
14346b045cc
151da2c956a
hex12411ff88

4900126600 has 96 divisors (see below), whose sum is σ = 12379564800. Its totient is φ = 1796947200.

The previous prime is 4900126591. The next prime is 4900126661. The reversal of 4900126600 is 66210094.

It is a super-2 number, since 2×49001266002 = 48022481392055120000, which contains 22 as substring.

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, 97002 + ... + 138598.

It is an arithmetic number, because the mean of its divisors is an integer number (128953800).

Almost surely, 24900126600 is an apocalyptic number.

4900126600 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 4900126600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6189782400).

4900126600 is an abundant number, since it is smaller than the sum of its proper divisors (7479438200).

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

4900126600 is a wasteful number, since it uses less digits than its factorization.

4900126600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41663 (or 41654 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 4900126600 is about 70000.9042798734. The cubic root of 4900126600 is about 1698.5138800074.

Adding to 4900126600 its reverse (66210094), we get a palindrome (4966336694).

The spelling of 4900126600 in words is "four billion, nine hundred million, one hundred twenty-six thousand, six hundred".

Divisors: 1 2 4 5 8 10 19 20 25 31 38 40 50 62 76 95 100 124 152 155 190 200 248 310 380 475 589 620 760 775 950 1178 1240 1550 1900 2356 2945 3100 3800 4712 5890 6200 11780 14725 23560 29450 41597 58900 83194 117800 166388 207985 332776 415970 790343 831940 1039925 1289507 1580686 1663880 2079850 2579014 3161372 3951715 4159700 5158028 6322744 6447535 7903430 8319400 10316056 12895070 15806860 19758575 24500633 25790140 31613720 32237675 39517150 49001266 51580280 64475350 79034300 98002532 122503165 128950700 158068600 196005064 245006330 257901400 490012660 612515825 980025320 1225031650 2450063300 4900126600