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4262412 = 2237211659
BaseRepresentation
bin10000010000101000001100
322000112221010
4100100220030
52042344122
6231205220
751141600
oct20205014
98015833
104262412
112451460
121516810
13b6314b
147cd500
15592e0c
hex410a0c

4262412 has 72 divisors (see below), whose sum is σ = 12640320. Its totient is φ = 1105440.

The previous prime is 4262399. The next prime is 4262417. The reversal of 4262412 is 2142624.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4262417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6139 + ... + 6797.

It is an arithmetic number, because the mean of its divisors is an integer number (175560).

Almost surely, 24262412 is an apocalyptic number.

4262412 is a gapful number since it is divisible by the number (42) 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 4262412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6320160).

4262412 is an abundant number, since it is smaller than the sum of its proper divisors (8377908).

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

4262412 is a wasteful number, since it uses less digits than its factorization.

4262412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 682 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 4262412 is about 2064.5609702792. The cubic root of 4262412 is about 162.1381233226.

The spelling of 4262412 in words is "four million, two hundred sixty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 659 924 1078 1318 1617 1977 2156 2636 3234 3954 4613 6468 7249 7908 9226 13839 14498 18452 21747 27678 28996 32291 43494 50743 55356 64582 86988 96873 101486 129164 152229 193746 202972 304458 355201 387492 608916 710402 1065603 1420804 2131206 4262412