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25953940 = 22543103293
BaseRepresentation
bin110001100000…
…0011010010100
31210211121010001
41203000122110
523121011230
62324141044
7433414315
oct143003224
953747101
1025953940
1113717641
128837784
1354b947c
14363860c
15242a0ca
hex18c0694

25953940 has 48 divisors (see below), whose sum is σ = 56504448. Its totient is φ = 10007424.

The previous prime is 25953937. The next prime is 25953947. The reversal of 25953940 is 4935952.

It is a self number, because there is not a number n which added to its sum of digits gives 25953940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25953947) 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, 88434 + ... + 88726.

It is an arithmetic number, because the mean of its divisors is an integer number (1177176).

Almost surely, 225953940 is an apocalyptic number.

25953940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25953940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28252224).

25953940 is an abundant number, since it is smaller than the sum of its proper divisors (30550508).

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

25953940 is a wasteful number, since it uses less digits than its factorization.

25953940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 37.

The square root of 25953940 is about 5094.5009569142. The cubic root of 25953940 is about 296.0745642442.

The spelling of 25953940 in words is "twenty-five million, nine hundred fifty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 43 86 103 172 206 215 293 412 430 515 586 860 1030 1172 1465 2060 2930 4429 5860 8858 12599 17716 22145 25198 30179 44290 50396 60358 62995 88580 120716 125990 150895 251980 301790 603580 1297697 2595394 5190788 6488485 12976970 25953940