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4738421250 = 232544110273
BaseRepresentation
bin1000110100110111…
…01001001000000010
3110020020011201222100
410122123221020002
534201013440000
62102104451230
7225264626133
oct43233511002
913206151870
104738421250
112011796022
12b02a79b16
135a68c3b74
1432d44dc8a
151caed6a00
hex11a6e9202

4738421250 has 120 divisors (see below), whose sum is σ = 13143302172. Its totient is φ = 1232640000.

The previous prime is 4738421221. The next prime is 4738421297. The reversal of 4738421250 is 521248374.

It is a happy number.

4738421250 is a `hidden beast` number, since 4 + 7 + 384 + 21 + 250 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 2022031089 + 2716390161 = 44967^2 + 52119^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 456114 + ... + 466386.

Almost surely, 24738421250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4738421250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6571651086).

4738421250 is an abundant number, since it is smaller than the sum of its proper divisors (8404880922).

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

4738421250 is a wasteful number, since it uses less digits than its factorization.

4738421250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10342 (or 10324 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4738421250 is about 68836.1914257319. The cubic root of 4738421250 is about 1679.6207158232.

The spelling of 4738421250 in words is "four billion, seven hundred thirty-eight million, four hundred twenty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 125 150 205 225 246 250 369 375 410 450 615 625 738 750 1025 1125 1230 1250 1845 1875 2050 2250 3075 3690 3750 5125 5625 6150 9225 10250 10273 11250 15375 18450 20546 25625 30750 30819 46125 51250 51365 61638 76875 92250 92457 102730 153750 154095 184914 230625 256825 308190 421193 461250 462285 513650 770475 842386 924570 1263579 1284125 1540950 2105965 2311425 2527158 2568250 3790737 3852375 4211930 4622850 6317895 6420625 7581474 7704750 10529825 11557125 12635790 12841250 18953685 19261875 21059650 23114250 31589475 37907370 38523750 52649125 57785625 63178950 94768425 105298250 115571250 157947375 189536850 263245625 315894750 473842125 526491250 789736875 947684250 1579473750 2369210625 4738421250