Search a number
-
+
468351940 = 22577345827
BaseRepresentation
bin11011111010100…
…111101111000100
31012122021202002011
4123322213233010
51424344230230
6114250224004
714414632360
oct3372475704
91178252064
10468351940
11220410821
12110a25004
1376053c34
14462b82a0
152b1b5e2a
hex1bea7bc4

468351940 has 48 divisors (see below), whose sum is σ = 1139467392. Its totient is φ = 158374656.

The previous prime is 468351931. The next prime is 468351977. The reversal of 468351940 is 49153864.

It is a junction number, because it is equal to n+sod(n) for n = 468351893 and 468351902.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12694 + ... + 33133.

It is an arithmetic number, because the mean of its divisors is an integer number (23738904).

Almost surely, 2468351940 is an apocalyptic number.

It is an amenable number.

468351940 is an abundant number, since it is smaller than the sum of its proper divisors (671115452).

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

468351940 is a wasteful number, since it uses less digits than its factorization.

468351940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45916 (or 45914 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 468351940 is about 21641.4403402361. The cubic root of 468351940 is about 776.5881771108.

The spelling of 468351940 in words is "four hundred sixty-eight million, three hundred fifty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 292 365 511 730 1022 1460 2044 2555 5110 10220 45827 91654 183308 229135 320789 458270 641578 916540 1283156 1603945 3207890 3345371 6415780 6690742 13381484 16726855 23417597 33453710 46835194 66907420 93670388 117087985 234175970 468351940