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2397952 = 28171929
BaseRepresentation
bin1001001001011100000000
311111211101001
421021130000
51103213302
6123221344
726245054
oct11113400
94454331
102397952
111398687
12977854
1365c60b
14465c64
15325787
hex249700

2397952 has 72 divisors (see below), whose sum is σ = 5518800. Its totient is φ = 1032192.

The previous prime is 2397949. The next prime is 2397961. The reversal of 2397952 is 2597932.

Its product of digits (34020) is a multiple of the sum of its prime factors (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82674 + ... + 82702.

It is an arithmetic number, because the mean of its divisors is an integer number (76650).

22397952 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 2397952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759400).

2397952 is an abundant number, since it is smaller than the sum of its proper divisors (3120848).

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

2397952 is a wasteful number, since it uses less digits than its factorization.

2397952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 67 counting only the distinct ones).

The product of its digits is 34020, while the sum is 37.

The square root of 2397952 is about 1548.5322082540. The cubic root of 2397952 is about 133.8484958820.

The spelling of 2397952 in words is "two million, three hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 17 19 29 32 34 38 58 64 68 76 116 128 136 152 232 256 272 304 323 464 493 544 551 608 646 928 986 1088 1102 1216 1292 1856 1972 2176 2204 2432 2584 3712 3944 4352 4408 4864 5168 7424 7888 8816 9367 10336 15776 17632 18734 20672 31552 35264 37468 41344 63104 70528 74936 82688 126208 141056 149872 299744 599488 1198976 2397952