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4922425600 = 28528772
BaseRepresentation
bin1001001010110011…
…00100000100000000
3110201001102010111021
410211121210010000
540040120104400
62132240355224
7232660633021
oct44531440400
913631363437
104922425600
1120a6643234
12b54615b14
13605a6a591
14349a6ac48
151dc23171a
hex125664100

4922425600 has 81 divisors (see below), whose sum is σ = 12197680887. Its totient is φ = 1966725120.

The previous prime is 4922425483. The next prime is 4922425603. The reversal of 4922425600 is 65242294.

The square root of 4922425600 is 70160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 267911424 + 4654514176 = 16368^2 + 68224^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4922425603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5612362 + ... + 5613238.

Almost surely, 24922425600 is an apocalyptic number.

4922425600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4922425600 is the 70160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4922425600

4922425600 is an abundant number, since it is smaller than the sum of its proper divisors (7275255287).

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

4922425600 is an frugal number, since it uses more digits than its factorization.

4922425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The cubic root of 4922425600 is about 1701.0864566020.

Adding to 4922425600 its reverse (65242294), we get a palindrome (4987667894).

The spelling of 4922425600 in words is "four billion, nine hundred twenty-two million, four hundred twenty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 877 1280 1600 1754 3200 3508 4385 6400 7016 8770 14032 17540 21925 28064 35080 43850 56128 70160 87700 112256 140320 175400 224512 280640 350800 561280 701600 769129 1122560 1403200 1538258 2806400 3076516 3845645 5612800 6153032 7691290 12306064 15382580 19228225 24612128 30765160 38456450 49224256 61530320 76912900 98448512 123060640 153825800 196897024 246121280 307651600 492242560 615303200 984485120 1230606400 2461212800 4922425600