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4873055040 = 263357197409
BaseRepresentation
bin1001000100111010…
…01110101101000000
3110120121111211211000
410202131032231000
534440000230130
62123314252000
7231521166360
oct44235165500
913517454730
104873055040
112080792417
12b3bb87000
135c8772829
143432989a0
151d7c2d260
hex12274eb40

4873055040 has 448 divisors, whose sum is σ = 19794931200. Its totient is φ = 1105477632.

The previous prime is 4873054973. The next prime is 4873055059. The reversal of 4873055040 is 405503784.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 4873054986 and 4873055004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11914356 + ... + 11914764.

Almost surely, 24873055040 is an apocalyptic number.

4873055040 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 4873055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9897465600).

4873055040 is an abundant number, since it is smaller than the sum of its proper divisors (14921876160).

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

4873055040 is a wasteful number, since it uses less digits than its factorization.

4873055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 4873055040 is about 69807.2706814985. The cubic root of 4873055040 is about 1695.3801950809.

The spelling of 4873055040 in words is "four billion, eight hundred seventy-three million, fifty-five thousand, forty".