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361536042 = 237171134481
BaseRepresentation
bin10101100011001…
…001101000101010
3221012021221012210
4111203021220222
51220023123132
655512545550
711650001640
oct2543115052
9835257183
10361536042
1117609441a
12a10b22b6
1359b94c6a
1436031190
1521b16bcc
hex158c9a2a

361536042 has 64 divisors (see below), whose sum is σ = 882918144. Its totient is φ = 96337920.

The previous prime is 361536041. The next prime is 361536053. The reversal of 361536042 is 240635163.

It is not an unprimeable number, because it can be changed into a prime (361536041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 78442 + ... + 82922.

It is an arithmetic number, because the mean of its divisors is an integer number (13795596).

Almost surely, 2361536042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361536042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441459072).

361536042 is an abundant number, since it is smaller than the sum of its proper divisors (521382102).

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

361536042 is a wasteful number, since it uses less digits than its factorization.

361536042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4623.

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 361536042 is about 19014.1011357361. The cubic root of 361536042 is about 712.3889915083.

It can be divided in two parts, 36153 and 6042, that added together give a triangular number (42195 = T290).

The spelling of 361536042 in words is "three hundred sixty-one million, five hundred thirty-six thousand, forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 113 119 226 238 339 357 678 714 791 1582 1921 2373 3842 4481 4746 5763 8962 11526 13443 13447 26886 26894 31367 40341 62734 76177 80682 94101 152354 188202 228531 457062 506353 533239 1012706 1066478 1519059 1599717 3038118 3199434 3544471 7088942 8608001 10633413 17216002 21266826 25824003 51648006 60256007 120512014 180768021 361536042