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4912237440 = 273351143601
BaseRepresentation
bin1001001001100101…
…01100101110000000
3110200100020111222000
410210302230232000
540030013044230
62131234144000
7232505220645
oct44462545600
913610214860
104912237440
1120a0914770
12b51122000
13603911196
14348577dcc
151db3bcb60
hex124cacb80

4912237440 has 512 divisors, whose sum is σ = 19452787200. Its totient is φ = 1161216000.

The previous prime is 4912237439. The next prime is 4912237457. The reversal of 4912237440 is 447322194.

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 = 4912237395 and 4912237404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8173140 + ... + 8173740.

It is an arithmetic number, because the mean of its divisors is an integer number (37993725).

Almost surely, 24912237440 is an apocalyptic number.

4912237440 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 4912237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9726393600).

4912237440 is an abundant number, since it is smaller than the sum of its proper divisors (14540549760).

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

4912237440 is a wasteful number, since it uses less digits than its factorization.

4912237440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4912237440 is about 70087.3557783428. The cubic root of 4912237440 is about 1699.9120415852.

The spelling of 4912237440 in words is "four billion, nine hundred twelve million, two hundred thirty-seven thousand, four hundred forty".