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248855360 = 26513163367
BaseRepresentation
bin11101101010100…
…11101101000000
3122100021011101012
432311103231000
51002201332420
640405500052
76111143555
oct1665235500
9570234335
10248855360
11118521796
126b411628
133c7316c0
142509ca2c
1516ca9dc5
hexed53b40

248855360 has 112 divisors (see below), whose sum is σ = 643835136. Its totient is φ = 91072512.

The previous prime is 248855339. The next prime is 248855381. The reversal of 248855360 is 63558842.

248855360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248855339) and next prime (248855381).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 677897 + ... + 678263.

It is an arithmetic number, because the mean of its divisors is an integer number (5748528).

Almost surely, 2248855360 is an apocalyptic number.

248855360 is a gapful number since it is divisible by the number (20) 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 248855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321917568).

248855360 is an abundant number, since it is smaller than the sum of its proper divisors (394979776).

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

248855360 is a wasteful number, since it uses less digits than its factorization.

248855360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The square root of 248855360 is about 15775.1500785254. The cubic root of 248855360 is about 628.9976165171.

The spelling of 248855360 in words is "two hundred forty-eight million, eight hundred fifty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 163 208 260 320 326 367 416 520 652 734 815 832 1040 1304 1468 1630 1835 2080 2119 2608 2936 3260 3670 4160 4238 4771 5216 5872 6520 7340 8476 9542 10432 10595 11744 13040 14680 16952 19084 21190 23488 23855 26080 29360 33904 38168 42380 47710 52160 58720 59821 67808 76336 84760 95420 117440 119642 135616 152672 169520 190840 239284 299105 305344 339040 381680 478568 598210 678080 763360 777673 957136 1196420 1526720 1555346 1914272 2392840 3110692 3828544 3888365 4785680 6221384 7776730 9571360 12442768 15553460 19142720 24885536 31106920 49771072 62213840 124427680 248855360