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2525472 = 25333779
BaseRepresentation
bin1001101000100100100000
311202022022000
421220210200
51121303342
6130044000
730315615
oct11504440
94668260
102525472
111475474
12a19600
136a5681
1449a50c
1534d44c
hex268920

2525472 has 96 divisors (see below), whose sum is σ = 7660800. Its totient is φ = 808704.

The previous prime is 2525447. The next prime is 2525473. The reversal of 2525472 is 2745252.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (2525473) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 31929 + ... + 32007.

It is an arithmetic number, because the mean of its divisors is an integer number (79800).

22525472 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 2525472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830400).

2525472 is an abundant number, since it is smaller than the sum of its proper divisors (5135328).

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

2525472 is a wasteful number, since it uses less digits than its factorization.

2525472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

The product of its digits is 5600, while the sum is 27.

The square root of 2525472 is about 1589.1733700261. The cubic root of 2525472 is about 136.1802684451.

The spelling of 2525472 in words is "two million, five hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 79 96 108 111 144 148 158 216 222 237 288 296 316 333 432 444 474 592 632 666 711 864 888 948 999 1184 1264 1332 1422 1776 1896 1998 2133 2528 2664 2844 2923 3552 3792 3996 4266 5328 5688 5846 7584 7992 8532 8769 10656 11376 11692 15984 17064 17538 22752 23384 26307 31968 34128 35076 46768 52614 68256 70152 78921 93536 105228 140304 157842 210456 280608 315684 420912 631368 841824 1262736 2525472