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25248672 = 253517191
BaseRepresentation
bin110000001010…
…0001110100000
31202111202200000
41200110032200
522430424142
62301100000
7424416201
oct140241640
952452600
1025248672
1113285779
128557600
135300457
1434d35a8
15233b14c
hex18143a0

25248672 has 144 divisors (see below), whose sum is σ = 79252992. Its totient is φ = 7879680.

The previous prime is 25248667. The next prime is 25248673. The reversal of 25248672 is 27684252.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (25248673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132097 + ... + 132287.

It is an arithmetic number, because the mean of its divisors is an integer number (550368).

Almost surely, 225248672 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 25248672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39626496).

25248672 is an abundant number, since it is smaller than the sum of its proper divisors (54004320).

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

25248672 is a wasteful number, since it uses less digits than its factorization.

25248672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 213 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 25248672 is about 5024.8056678841. The cubic root of 25248672 is about 293.3680721025.

The spelling of 25248672 in words is "twenty-five million, two hundred forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 191 204 216 243 272 288 306 324 382 408 432 459 486 544 573 612 648 764 816 864 918 972 1146 1224 1296 1377 1528 1632 1719 1836 1944 2292 2448 2592 2754 3056 3247 3438 3672 3888 4131 4584 4896 5157 5508 6112 6494 6876 7344 7776 8262 9168 9741 10314 11016 12988 13752 14688 15471 16524 18336 19482 20628 22032 25976 27504 29223 30942 33048 38964 41256 44064 46413 51952 55008 58446 61884 66096 77928 82512 87669 92826 103904 116892 123768 132192 155856 165024 175338 185652 233784 247536 263007 311712 350676 371304 467568 495072 526014 701352 742608 789021 935136 1052028 1402704 1485216 1578042 2104056 2805408 3156084 4208112 6312168 8416224 12624336 25248672