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4252704 = 253311429
BaseRepresentation
bin10000001110010000100000
322000001121120
4100032100200
52042041304
6231052240
751101361
oct20162040
98001546
104252704
112445135
121511080
13b5b8c1
147c9b68
155900d9
hex40e420

4252704 has 48 divisors (see below), whose sum is σ = 11531520. Its totient is φ = 1370880.

The previous prime is 4252681. The next prime is 4252709. The reversal of 4252704 is 4072524.

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 an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4252709) 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, 2262 + ... + 3690.

It is an arithmetic number, because the mean of its divisors is an integer number (240240).

Almost surely, 24252704 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 4252704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5765760).

4252704 is an abundant number, since it is smaller than the sum of its proper divisors (7278816).

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

4252704 is a wasteful number, since it uses less digits than its factorization.

4252704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 4252704 is about 2062.2085248587. The cubic root of 4252704 is about 162.0149353705.

The spelling of 4252704 in words is "four million, two hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1429 1488 2858 2976 4287 5716 8574 11432 17148 22864 34296 44299 45728 68592 88598 132897 137184 177196 265794 354392 531588 708784 1063176 1417568 2126352 4252704