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2589972 = 2237112803
BaseRepresentation
bin1001111000010100010100
311212120202220
421320110110
51130334342
6131302340
731004640
oct11702424
94776686
102589972
111509980
12a4a9b0
136c8b38
144b5c20
153625ec
hex278514

2589972 has 48 divisors (see below), whose sum is σ = 7537152. Its totient is φ = 672480.

The previous prime is 2589971. The next prime is 2589991. The reversal of 2589972 is 2799852.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2589971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478 + ... + 2325.

It is an arithmetic number, because the mean of its divisors is an integer number (157024).

22589972 is an apocalyptic number.

2589972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2589972 is an abundant number, since it is smaller than the sum of its proper divisors (4947180).

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

2589972 is a wasteful number, since it uses less digits than its factorization.

2589972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2826 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 2589972 is about 1609.3389947429. The cubic root of 2589972 is about 137.3298744429.

The spelling of 2589972 in words is "two million, five hundred eighty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 2803 5606 8409 11212 16818 19621 30833 33636 39242 58863 61666 78484 92499 117726 123332 184998 215831 235452 369996 431662 647493 863324 1294986 2589972