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359881242 = 237192915551
BaseRepresentation
bin10101011100110…
…101101000011010
3221002011212020220
4111130311220122
51214112144432
655413300510
711626640310
oct2534655032
9832155226
10359881242
11175164116
12a0634736
13597359a6
1435b200b0
15218db72c
hex15735a1a

359881242 has 64 divisors (see below), whose sum is σ = 895795200. Its totient is φ = 94046400.

The previous prime is 359881229. The next prime is 359881283. The reversal of 359881242 is 242188953.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 359881194 and 359881203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15367 + ... + 30917.

It is an arithmetic number, because the mean of its divisors is an integer number (13996800).

Almost surely, 2359881242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359881242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447897600).

359881242 is an abundant number, since it is smaller than the sum of its proper divisors (535913958).

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

359881242 is a wasteful number, since it uses less digits than its factorization.

359881242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15611.

The product of its digits is 138240, while the sum is 42.

The square root of 359881242 is about 18970.5361547849. The cubic root of 359881242 is about 711.3004283069.

The spelling of 359881242 in words is "three hundred fifty-nine million, eight hundred eighty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 29 38 42 57 58 87 114 133 174 203 266 399 406 551 609 798 1102 1218 1653 3306 3857 7714 11571 15551 23142 31102 46653 93306 108857 217714 295469 326571 450979 590938 653142 886407 901958 1352937 1772814 2068283 2705874 3156853 4136566 6204849 6313706 8568601 9470559 12409698 17137202 18941118 25705803 51411606 59980207 119960414 179940621 359881242