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248452540 = 22572594297
BaseRepresentation
bin11101100111100…
…01010110111100
3122022111200210221
432303301112330
51002100440130
640353111124
76104545300
oct1663612674
9568450727
10248452540
11118277086
126b2584a4
133c62024b
1424dd5d00
1516c2a87a
hexecf15bc

248452540 has 72 divisors (see below), whose sum is σ = 617364720. Its totient is φ = 83720448.

The previous prime is 248452517. The next prime is 248452543. The reversal of 248452540 is 45254842.

It is a junction number, because it is equal to n+sod(n) for n = 248452496 and 248452505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248452543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55672 + ... + 59968.

It is an arithmetic number, because the mean of its divisors is an integer number (8574510).

Almost surely, 2248452540 is an apocalyptic number.

248452540 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 248452540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308682360).

248452540 is an abundant number, since it is smaller than the sum of its proper divisors (368912180).

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

248452540 is a wasteful number, since it uses less digits than its factorization.

248452540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4379 (or 4370 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

The square root of 248452540 is about 15762.3773587616. The cubic root of 248452540 is about 628.6580489148.

The spelling of 248452540 in words is "two hundred forty-eight million, four hundred fifty-two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 59 70 98 118 140 196 236 245 295 413 490 590 826 980 1180 1652 2065 2891 4130 4297 5782 8260 8594 11564 14455 17188 21485 28910 30079 42970 57820 60158 85940 120316 150395 210553 253523 300790 421106 507046 601580 842212 1014092 1052765 1267615 1774661 2105530 2535230 3549322 4211060 5070460 7098644 8873305 12422627 17746610 24845254 35493220 49690508 62113135 124226270 248452540