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25740064 = 257151761
BaseRepresentation
bin110001000110…
…0001100100000
31210102201201201
41202030030200
523042140224
62315410544
7431533630
oct142141440
953381651
1025740064
1113590989
128753a54
13544300c
1435c06c0
1523d6a44
hex188c320

25740064 has 48 divisors (see below), whose sum is σ = 58375296. Its totient is φ = 10944000.

The previous prime is 25740047. The next prime is 25740089. The reversal of 25740064 is 46004752.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33444 + ... + 34204.

It is an arithmetic number, because the mean of its divisors is an integer number (1216152).

Almost surely, 225740064 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 25740064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29187648).

25740064 is an abundant number, since it is smaller than the sum of its proper divisors (32635232).

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

25740064 is a wasteful number, since it uses less digits than its factorization.

25740064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 25740064 is about 5073.4666649146. The cubic root of 25740064 is about 295.2590427897.

The spelling of 25740064 in words is "twenty-five million, seven hundred forty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 151 224 302 604 761 1057 1208 1522 2114 2416 3044 4228 4832 5327 6088 8456 10654 12176 16912 21308 24352 33824 42616 85232 114911 170464 229822 459644 804377 919288 1608754 1838576 3217508 3677152 6435016 12870032 25740064