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61294248 = 23321750077
BaseRepresentation
bin1110100111010…
…0011010101000
311021100001220100
43221310122220
5111142403443
610025425400
71342664301
oct351643250
9137301810
1061294248
1131665304
121863b260
13c9110b2
1481d77a8
1555ab3d3
hex3a746a8

61294248 has 48 divisors (see below), whose sum is σ = 175773780. Its totient is φ = 19229184.

The previous prime is 61294151. The next prime is 61294267. The reversal of 61294248 is 84249216.

61294248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 54730404 + 6563844 = 7398^2 + 2562^2 .

It is a super-3 number, since 3×612942483 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23815 + ... + 26262.

Almost surely, 261294248 is an apocalyptic number.

61294248 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

61294248 is an abundant number, since it is smaller than the sum of its proper divisors (114479532).

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

61294248 is a wasteful number, since it uses less digits than its factorization.

61294248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50106 (or 50099 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 61294248 is about 7829.0643119085. The cubic root of 61294248 is about 394.2816576232.

The spelling of 61294248 in words is "sixty-one million, two hundred ninety-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 50077 100154 150231 200308 300462 400616 450693 600924 851309 901386 1201848 1702618 1802772 2553927 3405236 3605544 5107854 6810472 7661781 10215708 15323562 20431416 30647124 61294248