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468022744 = 23719617211
BaseRepresentation
bin11011111001010…
…111010111011000
31012121200000111201
4123321113113120
51424303211434
6114235203544
714412061540
oct3371272730
91177600451
10468022744
11220206462
121108a65b4
1375c6a147
1446230320
152b14d614
hex1be575d8

468022744 has 64 divisors (see below), whose sum is σ = 1073145600. Its totient is φ = 186883200.

The previous prime is 468022721. The next prime is 468022747. The reversal of 468022744 is 447220864.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468022747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61299 + ... + 68509.

It is an arithmetic number, because the mean of its divisors is an integer number (16767900).

Almost surely, 2468022744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468022744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536572800).

468022744 is an abundant number, since it is smaller than the sum of its proper divisors (605122856).

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

468022744 is a wasteful number, since it uses less digits than its factorization.

468022744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7304 (or 7300 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 37.

The square root of 468022744 is about 21633.8333172834. The cubic root of 468022744 is about 776.4061845959.

The spelling of 468022744 in words is "four hundred sixty-eight million, twenty-two thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 61 76 122 133 152 244 266 427 488 532 854 1064 1159 1708 2318 3416 4636 7211 8113 9272 14422 16226 28844 32452 50477 57688 64904 100954 137009 201908 274018 403816 439871 548036 879742 959063 1096072 1759484 1918126 3079097 3518968 3836252 6158194 7672504 8357549 12316388 16715098 24632776 33430196 58502843 66860392 117005686 234011372 468022744