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25613064 = 233319792
BaseRepresentation
bin110000110110…
…1001100001000
31210012021112000
41201231030020
523024104224
62312551000
7430464441
oct141551410
953167460
1025613064
1113504524
1286b2460
1353ca279
14358a2c8
1523ae0c9
hex186d308

25613064 has 96 divisors (see below), whose sum is σ = 75852000. Its totient is φ = 7985952.

The previous prime is 25613059. The next prime is 25613131. The reversal of 25613064 is 46031652.

It is a super-4 number, since 4×256130644 (a number of 31 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324177 + ... + 324255.

It is an arithmetic number, because the mean of its divisors is an integer number (790125).

Almost surely, 225613064 is an apocalyptic number.

25613064 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 25613064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37926000).

25613064 is an abundant number, since it is smaller than the sum of its proper divisors (50238936).

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

25613064 is a wasteful number, since it uses less digits than its factorization.

25613064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 25613064 is about 5060.9350914628. The cubic root of 25613064 is about 294.7726448944.

It can be divided in two parts, 2561 and 3064, that added together give a square (5625 = 752).

The spelling of 25613064 in words is "twenty-five million, six hundred thirteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 79 108 114 152 158 171 216 228 237 316 342 456 474 513 632 684 711 948 1026 1368 1422 1501 1896 2052 2133 2844 3002 4104 4266 4503 5688 6004 6241 8532 9006 12008 12482 13509 17064 18012 18723 24964 27018 36024 37446 40527 49928 54036 56169 74892 81054 108072 112338 118579 149784 162108 168507 224676 237158 324216 337014 355737 449352 474316 674028 711474 948632 1067211 1348056 1422948 2134422 2845896 3201633 4268844 6403266 8537688 12806532 25613064