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4963202500 = 225414092
BaseRepresentation
bin1001001111101010…
…00111010111000100
3110210220010210212211
410213311013113010
540131034440000
62140254353204
7233664345064
oct44765072704
913726123784
104963202500
112117664553
12b661bb804
13611346919
143512433a4
151e0ad87ba
hex127d475c4

4963202500 has 45 divisors (see below), whose sum is σ = 10861239697. Its totient is φ = 1983872000.

The previous prime is 4963202467. The next prime is 4963202521. The reversal of 4963202500 is 52023694.

The square root of 4963202500 is 70450.

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

It can be written as a sum of positive squares in 7 ways, for example, as 4819969476 + 143233024 = 69426^2 + 11968^2 .

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 3521796 + ... + 3523204.

Almost surely, 24963202500 is an apocalyptic number.

4963202500 is the 70450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4963202500

4963202500 is an abundant number, since it is smaller than the sum of its proper divisors (5898037197).

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

4963202500 is an frugal number, since it uses more digits than its factorization.

4963202500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The cubic root of 4963202500 is about 1705.7707577205.

It can be divided in two parts, 49 and 63202500, that multiplied together give a square (3096922500 = 556502).

The spelling of 4963202500 in words is "four billion, nine hundred sixty-three million, two hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 1409 2500 2818 5636 7045 14090 28180 35225 70450 140900 176125 352250 704500 880625 1761250 1985281 3522500 3970562 7941124 9926405 19852810 39705620 49632025 99264050 198528100 248160125 496320250 992640500 1240800625 2481601250 4963202500