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4397952 = 27313881
BaseRepresentation
bin10000110001101110000000
322021102212010
4100301232000
52111213302
6234132520
752245006
oct20615600
98242763
104397952
112534279
121581140
13baca50
14826a76
155bd16c
hex431b80

4397952 has 64 divisors (see below), whose sum is σ = 12594960. Its totient is φ = 1351680.

The previous prime is 4397941. The next prime is 4397957. The reversal of 4397952 is 2597934.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4397952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4397957) 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, 4552 + ... + 5432.

Almost surely, 24397952 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 4397952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6297480).

4397952 is an abundant number, since it is smaller than the sum of its proper divisors (8197008).

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

4397952 is a wasteful number, since it uses less digits than its factorization.

4397952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 899 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 4397952 is about 2097.1294666758. The cubic root of 4397952 is about 163.8388263873.

The spelling of 4397952 in words is "four million, three hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 881 1248 1664 1762 2496 2643 3524 4992 5286 7048 10572 11453 14096 21144 22906 28192 34359 42288 45812 56384 68718 84576 91624 112768 137436 169152 183248 274872 338304 366496 549744 732992 1099488 1465984 2198976 4397952