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4245408 = 253214741
BaseRepresentation
bin10000001100011110100000
321222200121100
4100030132200
52041323113
6230554400
751041166
oct20143640
97880540
104245408
11243a702
121508a00
13b5849b
147c7236
1558cd73
hex40c7a0

4245408 has 36 divisors (see below), whose sum is σ = 12073698. Its totient is φ = 1415040.

The previous prime is 4245407. The next prime is 4245413. The reversal of 4245408 is 8045424.

It can be written as a sum of positive squares in only one way, i.e., 2471184 + 1774224 = 1572^2 + 1332^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4245407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7083 + ... + 7658.

Almost surely, 24245408 is an apocalyptic number.

4245408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4245408 is an abundant number, since it is smaller than the sum of its proper divisors (7828290).

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

4245408 is a wasteful number, since it uses less digits than its factorization.

4245408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14757 (or 14746 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4245408 is about 2060.4387882196. The cubic root of 4245408 is about 161.9222306191.

It can be divided in two parts, 424 and 5408, that added together give a cube (5832 = 183).

The spelling of 4245408 in words is "four million, two hundred forty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 14741 29482 44223 58964 88446 117928 132669 176892 235856 265338 353784 471712 530676 707568 1061352 1415136 2122704 4245408