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24961040 = 2451324001
BaseRepresentation
bin101111100111…
…0000000010000
31201222011002222
41133032000100
522342223130
62251000212
7422110466
oct137160020
951864088
1024961040
11130a9665
128439068
13522c560
14345a836
1522d0ce5
hex17ce010

24961040 has 40 divisors (see below), whose sum is σ = 62501208. Its totient is φ = 9216000.

The previous prime is 24961037. The next prime is 24961043. The reversal of 24961040 is 4016942.

It is an interprime number because it is at equal distance from previous prime (24961037) and next prime (24961043).

It can be written as a sum of positive squares in 4 ways, for example, as 1024 + 24960016 = 32^2 + 4996^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24961043) 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, 10961 + ... + 13040.

Almost surely, 224961040 is an apocalyptic number.

24961040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24961040 is an abundant number, since it is smaller than the sum of its proper divisors (37540168).

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

24961040 is a wasteful number, since it uses less digits than its factorization.

24961040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24027 (or 24021 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 24961040 is about 4996.1024809345. The cubic root of 24961040 is about 292.2498018748.

Adding to 24961040 its reverse (4016942), we get a palindrome (28977982).

The spelling of 24961040 in words is "twenty-four million, nine hundred sixty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 24001 48002 96004 120005 192008 240010 312013 384016 480020 624026 960040 1248052 1560065 1920080 2496104 3120130 4992208 6240260 12480520 24961040