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359912142 = 232236171409
BaseRepresentation
bin10101011100111…
…101001011001110
3221002020102122100
4111130331023032
51214114142032
655414055530
711630126352
oct2534751316
9832212570
10359912142
11175185357
12a064a5a6
1359746a85
1435b2b462
15218e597c
hex1573d2ce

359912142 has 48 divisors (see below), whose sum is σ = 815611680. Its totient is φ = 114487296.

The previous prime is 359912131. The next prime is 359912143. The reversal of 359912142 is 241219953.

359912142 is a `hidden beast` number, since 3 + 599 + 1 + 21 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 359912097 and 359912106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359912143) 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, 254734 + ... + 256142.

It is an arithmetic number, because the mean of its divisors is an integer number (16991910).

Almost surely, 2359912142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359912142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407805840).

359912142 is an abundant number, since it is smaller than the sum of its proper divisors (455699538).

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

359912142 is a wasteful number, since it uses less digits than its factorization.

359912142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2054 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 359912142 is about 18971.3505581442. The cubic root of 359912142 is about 711.3207855355.

The spelling of 359912142 in words is "three hundred fifty-nine million, nine hundred twelve thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 617 1234 1409 1851 2818 3702 4227 5553 8454 11106 12681 14191 25362 28382 32407 42573 64814 85146 97221 127719 194442 255438 291663 583326 869353 1738706 2608059 5216118 7824177 15648354 19995119 39990238 59985357 119970714 179956071 359912142