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4907485440 = 283451113331
BaseRepresentation
bin1001001001000001…
…00100100100000000
3110200000022002110000
410210200210210000
540022304013230
62130544240000
7232416636504
oct44440444400
913600262400
104907485440
1120991694a0
12b4b610000
13602939250
14347a9c304
151dac7eb60
hex124824900

4907485440 has 720 divisors, whose sum is σ = 20692115136. Its totient is φ = 1094860800.

The previous prime is 4907485409. The next prime is 4907485477. The reversal of 4907485440 is 445847094.

4907485440 is a `hidden beast` number, since 490 + 74 + 8 + 54 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14826075 + ... + 14826405.

Almost surely, 24907485440 is an apocalyptic number.

4907485440 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 4907485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10346057568).

4907485440 is an abundant number, since it is smaller than the sum of its proper divisors (15784629696).

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

4907485440 is a wasteful number, since it uses less digits than its factorization.

4907485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4907485440 is about 70053.4470243970. The cubic root of 4907485440 is about 1699.3637111250.

The spelling of 4907485440 in words is "four billion, nine hundred seven million, four hundred eighty-five thousand, four hundred forty".