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468280386 = 23377191723
BaseRepresentation
bin11011111010010…
…110010001000010
31012122011002221000
4123322112101002
51424334433021
6114244512430
714414213640
oct3372262102
91178132830
10468280386
11220371a92
121109ab716
137602a4b2
144629a190
152b19eb26
hex1be96442

468280386 has 64 divisors (see below), whose sum is σ = 1191628800. Its totient is φ = 133530768.

The previous prime is 468280367. The next prime is 468280447. The reversal of 468280386 is 683082864.

It is a happy number.

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, 270921 + ... + 272643.

It is an arithmetic number, because the mean of its divisors is an integer number (18619200).

Almost surely, 2468280386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468280386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595814400).

468280386 is an abundant number, since it is smaller than the sum of its proper divisors (723348414).

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

468280386 is a wasteful number, since it uses less digits than its factorization.

468280386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 468280386 is about 21639.7871061617. The cubic root of 468280386 is about 776.5486264967.

The spelling of 468280386 in words is "four hundred sixty-eight million, two hundred eighty thousand, three hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 719 1438 1723 2157 3446 4314 5033 5169 6471 10066 10338 12061 12942 15099 15507 19413 24122 30198 31014 36183 38826 45297 46521 72366 90594 93042 108549 135891 217098 271782 325647 651294 1238837 2477674 3716511 7433022 8671859 11149533 17343718 22299066 26015577 33448599 52031154 66897198 78046731 156093462 234140193 468280386