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464048 = 24132397
BaseRepresentation
bin1110001010010110000
3212120112222
41301102300
5104322143
613540212
73641624
oct1612260
9776488
10464048
11297712
121a4668
131332b0
14c1184
1592768
hex714b0

464048 has 40 divisors (see below), whose sum is σ = 1020768. Its totient is φ = 202752.

The previous prime is 464047. The next prime is 464069. The reversal of 464048 is 840464.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (464047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4736 + ... + 4832.

2464048 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 464048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510384).

464048 is an abundant number, since it is smaller than the sum of its proper divisors (556720).

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

464048 is a wasteful number, since it uses less digits than its factorization.

464048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 464048 is about 681.2106869391. The cubic root of 464048 is about 77.4202022906.

The spelling of 464048 in words is "four hundred sixty-four thousand, forty-eight".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 97 104 184 194 208 299 368 388 598 776 1196 1261 1552 2231 2392 2522 4462 4784 5044 8924 10088 17848 20176 29003 35696 58006 116012 232024 464048