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4942481400 = 23325217198501
BaseRepresentation
bin1001001101001100…
…00100011111111000
3110202110011001212200
410212212010133320
540110233401100
62134234310200
7233323253523
oct44646043770
913673131780
104942481400
1121069a147a
12b5b288360
13609c7020c
1434c5abbba
151ddd93e00
hex1269847f8

4942481400 has 288 divisors, whose sum is σ = 18502052400. Its totient is φ = 1175040000.

The previous prime is 4942481377. The next prime is 4942481441. The reversal of 4942481400 is 41842494.

4942481400 is a `hidden beast` number, since 4 + 9 + 4 + 248 + 1 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 577150 + ... + 585650.

Almost surely, 24942481400 is an apocalyptic number.

4942481400 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 4942481400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9251026200).

4942481400 is an abundant number, since it is smaller than the sum of its proper divisors (13559571000).

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

4942481400 is a wasteful number, since it uses less digits than its factorization.

4942481400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8559 (or 8547 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4942481400 is about 70302.7837286690. The cubic root of 4942481400 is about 1703.3936131723.

The spelling of 4942481400 in words is "four billion, nine hundred forty-two million, four hundred eighty-one thousand, four hundred".