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466028448 = 25324120143
BaseRepresentation
bin11011110001110…
…000011110100000
31012110220200211220
4123301300132200
51423300402243
6114124335040
714356114344
oct3361603640
91173820756
10466028448
1121a074086
121100a4480
137571c4a2
1445c71624
152ada7783
hex1bc707a0

466028448 has 48 divisors (see below), whose sum is σ = 1228461696. Its totient is φ = 154690560.

The previous prime is 466028419. The next prime is 466028467. The reversal of 466028448 is 844820664.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13065 + ... + 33207.

It is an arithmetic number, because the mean of its divisors is an integer number (25592952).

Almost surely, 2466028448 is an apocalyptic number.

466028448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466028448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614230848).

466028448 is an abundant number, since it is smaller than the sum of its proper divisors (762433248).

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

466028448 is a wasteful number, since it uses less digits than its factorization.

466028448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20397 (or 20389 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 466028448 is about 21587.6920489431. The cubic root of 466028448 is about 775.3018306824.

The spelling of 466028448 in words is "four hundred sixty-six million, twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 241 482 723 964 1446 1928 2892 3856 5784 7712 11568 20143 23136 40286 60429 80572 120858 161144 241716 322288 483432 644576 966864 1933728 4854463 9708926 14563389 19417852 29126778 38835704 58253556 77671408 116507112 155342816 233014224 466028448