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4262440 = 2357131171
BaseRepresentation
bin10000010000101000101000
322000112222011
4100100220220
52042344230
6231205304
751141640
oct20205050
98015864
104262440
112451486
121516834
13b63170
147cd520
15592e2a
hex410a28

4262440 has 64 divisors (see below), whose sum is σ = 11813760. Its totient is φ = 1347840.

The previous prime is 4262431. The next prime is 4262459. The reversal of 4262440 is 442624.

It is a d-powerful number, because it can be written as 4 + 29 + 62 + 211 + 48 + 411 + 0 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3055 + ... + 4225.

It is an arithmetic number, because the mean of its divisors is an integer number (184590).

Almost surely, 24262440 is an apocalyptic number.

4262440 is a gapful number since it is divisible by the number (40) 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 4262440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5906880).

4262440 is an abundant number, since it is smaller than the sum of its proper divisors (7551320).

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

4262440 is a wasteful number, since it uses less digits than its factorization.

4262440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4262440 is about 2064.5677513707. The cubic root of 4262440 is about 162.1384783530.

The spelling of 4262440 in words is "four million, two hundred sixty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1171 1820 2342 3640 4684 5855 8197 9368 11710 15223 16394 23420 30446 32788 40985 46840 60892 65576 76115 81970 106561 121784 152230 163940 213122 304460 327880 426244 532805 608920 852488 1065610 2131220 4262440