Search a number
-
+
464750352 = 243311217523
BaseRepresentation
bin11011101100111…
…000011100010000
31012101111202122000
4123230320130100
51422434002402
6114041114000
714342212203
oct3354703420
91171452560
10464750352
11219380900
1210b788900
1375392811
1445a1b93a
152ac03c1c
hex1bb38710

464750352 has 240 divisors, whose sum is σ = 1555525440. Its totient is φ = 132295680.

The previous prime is 464750347. The next prime is 464750353. The reversal of 464750352 is 253057464.

464750352 is a `hidden beast` number, since 4 + 647 + 5 + 0 + 3 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (464750353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 888363 + ... + 888885.

It is an arithmetic number, because the mean of its divisors is an integer number (6481356).

Almost surely, 2464750352 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 464750352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777762720).

464750352 is an abundant number, since it is smaller than the sum of its proper divisors (1090775088).

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

464750352 is a wasteful number, since it uses less digits than its factorization.

464750352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 464750352 is about 21558.0693013080. The cubic root of 464750352 is about 774.5924194710.

The spelling of 464750352 in words is "four hundred sixty-four million, seven hundred fifty thousand, three hundred fifty-two".