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25040064 = 263731601
BaseRepresentation
bin101111110000…
…1010011000000
31202010011111210
41133201103000
522402240224
62252410120
7422560050
oct137412300
952104453
1025040064
1113152a75
128476940
13525950a
14347b560
1522e9429
hex17e14c0

25040064 has 112 divisors (see below), whose sum is σ = 78288896. Its totient is φ = 6912000.

The previous prime is 25040051. The next prime is 25040107. The reversal of 25040064 is 46004052.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 25040064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41364 + ... + 41964.

It is an arithmetic number, because the mean of its divisors is an integer number (699008).

Almost surely, 225040064 is an apocalyptic number.

25040064 is a gapful number since it is divisible by the number (24) 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 25040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39144448).

25040064 is an abundant number, since it is smaller than the sum of its proper divisors (53248832).

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

25040064 is a wasteful number, since it uses less digits than its factorization.

25040064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 25040064 is about 5004.0047961608. The cubic root of 25040064 is about 292.5578875860.

The spelling of 25040064 in words is "twenty-five million, forty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 168 186 192 217 224 248 336 372 434 448 496 601 651 672 744 868 992 1202 1302 1344 1488 1736 1803 1984 2404 2604 2976 3472 3606 4207 4808 5208 5952 6944 7212 8414 9616 10416 12621 13888 14424 16828 18631 19232 20832 25242 28848 33656 37262 38464 41664 50484 55893 57696 67312 74524 100968 111786 115392 130417 134624 149048 201936 223572 260834 269248 298096 391251 403872 447144 521668 596192 782502 807744 894288 1043336 1192384 1565004 1788576 2086672 3130008 3577152 4173344 6260016 8346688 12520032 25040064