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4905312 = 253371381
BaseRepresentation
bin10010101101100101100000
3100020012211020
4102231211200
52223432222
6253045440
756460126
oct22554540
910205736
104905312
112850485
121786880
131029969
14919916
1566d65c
hex4ad960

4905312 has 48 divisors (see below), whose sum is σ = 13234032. Its totient is φ = 1589760.

The previous prime is 4905301. The next prime is 4905317. The reversal of 4905312 is 2135094.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4905317) 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, 2862 + ... + 4242.

It is an arithmetic number, because the mean of its divisors is an integer number (275709).

Almost surely, 24905312 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 4905312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6617016).

4905312 is an abundant number, since it is smaller than the sum of its proper divisors (8328720).

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

4905312 is a wasteful number, since it uses less digits than its factorization.

4905312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 4905312 is about 2214.7938956029. The cubic root of 4905312 is about 169.9112801197.

The spelling of 4905312 in words is "four million, nine hundred five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1381 1776 2762 3552 4143 5524 8286 11048 16572 22096 33144 44192 51097 66288 102194 132576 153291 204388 306582 408776 613164 817552 1226328 1635104 2452656 4905312