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468890562 = 237311133187
BaseRepresentation
bin11011111100101…
…011001111000010
31012200022002221010
4123330223033002
51430013444222
6114305541350
714422334610
oct3374531702
91180262833
10468890562
11220749468
12111044856
13761b214a
14463b86b0
152b27080c
hex1bf2b3c2

468890562 has 64 divisors (see below), whose sum is σ = 1116463104. Its totient is φ = 128459520.

The previous prime is 468890561. The next prime is 468890563. The reversal of 468890562 is 265098864.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (468890561) and next prime (468890563).

It is not an unprimeable number, because it can be changed into a prime (468890561) 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 31 ways as a sum of consecutive naturals, for example, 145533 + ... + 148719.

It is an arithmetic number, because the mean of its divisors is an integer number (17444736).

Almost surely, 2468890562 is an apocalyptic number.

468890562 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 468890562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558231552).

468890562 is an abundant number, since it is smaller than the sum of its proper divisors (647572542).

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

468890562 is a wasteful number, since it uses less digits than its factorization.

468890562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3343.

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 468890562 is about 21653.8809916375. The cubic root of 468890562 is about 776.8857647403.

The spelling of 468890562 in words is "four hundred sixty-eight million, eight hundred ninety thousand, five hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 113 186 217 226 339 434 651 678 791 1302 1582 2373 3187 3503 4746 6374 7006 9561 10509 19122 21018 22309 24521 44618 49042 66927 73563 98797 133854 147126 197594 296391 360131 592782 691579 720262 1080393 1383158 2074737 2160786 2520917 4149474 5041834 7562751 11164061 15125502 22328122 33492183 66984366 78148427 156296854 234445281 468890562