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25134096 = 2431347857
BaseRepresentation
bin101111111100…
…0010000010000
31202021221111110
41133320100100
522413242341
62254413320
7423431151
oct137702020
952257443
1025134096
1113207689
128501240
135290260
1434a3928
152317216
hex17f8410

25134096 has 80 divisors (see below), whose sum is σ = 71495424. Its totient is φ = 7560192.

The previous prime is 25134091. The next prime is 25134113. The reversal of 25134096 is 69043152.

It is a super-3 number, since 3×251340963 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25134091) by changing a digit.

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, 28900 + ... + 29756.

Almost surely, 225134096 is an apocalyptic number.

25134096 is a gapful number since it is divisible by the number (26) 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 25134096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35747712).

25134096 is an abundant number, since it is smaller than the sum of its proper divisors (46361328).

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

25134096 is a wasteful number, since it uses less digits than its factorization.

25134096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 25134096 is about 5013.3916663273. The cubic root of 25134096 is about 292.9236406373.

The spelling of 25134096 in words is "twenty-five million, one hundred thirty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 47 48 52 78 94 104 141 156 188 208 282 312 376 564 611 624 752 857 1128 1222 1714 1833 2256 2444 2571 3428 3666 4888 5142 6856 7332 9776 10284 11141 13712 14664 20568 22282 29328 33423 40279 41136 44564 66846 80558 89128 120837 133692 161116 178256 241674 267384 322232 483348 523627 534768 644464 966696 1047254 1570881 1933392 2094508 3141762 4189016 6283524 8378032 12567048 25134096