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25429248 = 283313283
BaseRepresentation
bin110000100000…
…0010100000000
31202211221101000
41201000110000
523002213443
62305012000
7426100515
oct141002400
952757330
1025429248
1113399409
128624000
1353646c0
14353d30c
1523748d3
hex1840500

25429248 has 144 divisors (see below), whose sum is σ = 81269440. Its totient is φ = 7796736.

The previous prime is 25429219. The next prime is 25429267. The reversal of 25429248 is 84292452.

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

It is a super-4 number, since 4×254292484 (a number of 31 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89715 + ... + 89997.

Almost surely, 225429248 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 25429248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40634720).

25429248 is an abundant number, since it is smaller than the sum of its proper divisors (55840192).

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

25429248 is a wasteful number, since it uses less digits than its factorization.

25429248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 301 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 25429248 is about 5042.7421111931. The cubic root of 25429248 is about 294.0657911904.

The spelling of 25429248 in words is "twenty-five million, four hundred twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 283 288 312 351 384 416 432 468 566 576 624 702 768 832 849 864 936 1132 1152 1248 1404 1664 1698 1728 1872 2264 2304 2496 2547 2808 3328 3396 3456 3679 3744 4528 4992 5094 5616 6792 6912 7358 7488 7641 9056 9984 10188 11037 11232 13584 14716 14976 15282 18112 20376 22074 22464 27168 29432 29952 30564 33111 36224 40752 44148 44928 54336 58864 61128 66222 72448 81504 88296 89856 99333 108672 117728 122256 132444 163008 176592 198666 217344 235456 244512 264888 326016 353184 397332 470912 489024 529776 652032 706368 794664 941824 978048 1059552 1412736 1589328 1956096 2119104 2825472 3178656 4238208 6357312 8476416 12714624 25429248