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4460050364 = 2272119192251
BaseRepresentation
bin1000010011101011…
…01111011110111100
3102111211101000220112
410021311233132330
533113233102424
62014322205152
7215344542200
oct41165573674
912454330815
104460050364
111989644940
12a457b37b8
13561029b73
143044aab00
151b184b60e
hex109d6f7bc

4460050364 has 72 divisors (see below), whose sum is σ = 9919969920. Its totient is φ = 1735020000.

The previous prime is 4460050363. The next prime is 4460050393. The reversal of 4460050364 is 4630500644.

It is a self number, because there is not a number n which added to its sum of digits gives 4460050364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4460050363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1980239 + ... + 1982489.

It is an arithmetic number, because the mean of its divisors is an integer number (137777360).

Almost surely, 24460050364 is an apocalyptic number.

4460050364 is a gapful number since it is divisible by the number (44) 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 4460050364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4959984960).

4460050364 is an abundant number, since it is smaller than the sum of its proper divisors (5459919556).

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

4460050364 is a wasteful number, since it uses less digits than its factorization.

4460050364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3199 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 4460050364 is about 66783.6084978942. The cubic root of 4460050364 is about 1646.0635102589.

The spelling of 4460050364 in words is "four billion, four hundred sixty million, fifty thousand, three hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 919 1078 1838 2156 2251 3676 4502 6433 9004 10109 12866 15757 20218 24761 25732 31514 40436 45031 49522 63028 70763 90062 99044 110299 141526 173327 180124 220598 283052 346654 441196 495341 693308 990682 1213289 1981364 2068669 2426578 4137338 4853156 8274676 14480683 22755359 28961366 45510718 57922732 91021436 101364781 159287513 202729562 318575026 405459124 637150052 1115012591 2230025182 4460050364