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245850048 = 26321073989
BaseRepresentation
bin11101010011101…
…01111111000000
3122010121110212100
432221311333000
51000414200143
640221230400
76043455663
oct1651657700
9563543770
10245850048
11116859864
126a402400
133bc1b802
14249196da
15168b46d3
hexea75fc0

245850048 has 84 divisors (see below), whose sum is σ = 711448920. Its totient is φ = 81163776.

The previous prime is 245850047. The next prime is 245850053. The reversal of 245850048 is 840058542.

It is a super-2 number, since 2×2458500482 = 120884492203204608, which contains 22 as substring.

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 = 245849994 and 245850021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245850041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59638 + ... + 63626.

It is an arithmetic number, because the mean of its divisors is an integer number (8469630).

Almost surely, 2245850048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245850048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355724460).

245850048 is an abundant number, since it is smaller than the sum of its proper divisors (465598872).

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

245850048 is a wasteful number, since it uses less digits than its factorization.

245850048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4114 (or 4101 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 245850048 is about 15679.6061175018. The cubic root of 245850048 is about 626.4553162837.

The spelling of 245850048 in words is "two hundred forty-five million, eight hundred fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 144 192 214 288 321 428 576 642 856 963 1284 1712 1926 2568 3424 3852 3989 5136 6848 7704 7978 10272 11967 15408 15956 20544 23934 30816 31912 35901 47868 61632 63824 71802 95736 127648 143604 191472 255296 287208 382944 426823 574416 765888 853646 1148832 1280469 1707292 2297664 2560938 3414584 3841407 5121876 6829168 7682814 10243752 13658336 15365628 20487504 27316672 30731256 40975008 61462512 81950016 122925024 245850048