[go: up one dir, main page]

Search a number
-
+
248275040 = 25513119363
BaseRepresentation
bin11101100110001…
…10000001100000
3122022011200022212
432303012001200
51002024300130
640345221252
76103205636
oct1663060140
9568150285
10248275040
11118165792
126b191828
133c58a510
1424d8b356
1516be2e95
hexecc6060

248275040 has 48 divisors (see below), whose sum is σ = 631674288. Its totient is φ = 91670016.

The previous prime is 248275037. The next prime is 248275057. The reversal of 248275040 is 40572842.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 248274988 and 248275006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57602 + ... + 61761.

It is an arithmetic number, because the mean of its divisors is an integer number (13159881).

Almost surely, 2248275040 is an apocalyptic number.

248275040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248275040 is an abundant number, since it is smaller than the sum of its proper divisors (383399248).

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

248275040 is a wasteful number, since it uses less digits than its factorization.

248275040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119391 (or 119383 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 248275040 is about 15756.7458569338. The cubic root of 248275040 is about 628.5083041686.

The spelling of 248275040 in words is "two hundred forty-eight million, two hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 119363 238726 477452 596815 954904 1193630 1551719 1909808 2387260 3103438 3819616 4774520 6206876 7758595 9549040 12413752 15517190 19098080 24827504 31034380 49655008 62068760 124137520 248275040