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4985912400 = 24352723131197
BaseRepresentation
bin1001010010010111…
…01111110001010000
3110212110212121000020
410221023233301100
540202343144100
62142425223440
7234361361520
oct45113576120
913773777006
104985912400
112129465867
12b71931b80
13615c68631
14354275680
151e2ac25a0
hex1292efc50

4985912400 has 480 divisors, whose sum is σ = 19289622528. Its totient is φ = 1076275200.

The previous prime is 4985912389. The next prime is 4985912411. The reversal of 4985912400 is 42195894.

It is an interprime number because it is at equal distance from previous prime (4985912389) and next prime (4985912411).

It is a super-3 number, since 3×49859124003 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25309102 + ... + 25309298.

Almost surely, 24985912400 is an apocalyptic number.

4985912400 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 4985912400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9644811264).

4985912400 is an abundant number, since it is smaller than the sum of its proper divisors (14303710128).

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

4985912400 is a wasteful number, since it uses less digits than its factorization.

4985912400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 4985912400 is about 70610.9934783529. The cubic root of 4985912400 is about 1708.3684722232.

The spelling of 4985912400 in words is "four billion, nine hundred eighty-five million, nine hundred twelve thousand, four hundred".