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40425264 = 24331147181
BaseRepresentation
bin1001101000110…
…1011100110000
32211001211001000
42122031130300
540322102024
64002242000
71000415625
oct232153460
984054030
1040425264
1120901110
1211656300
1384b5299
14552434c
153837cc9
hex268d730

40425264 has 160 divisors (see below), whose sum is σ = 129991680. Its totient is φ = 11923200.

The previous prime is 40425263. The next prime is 40425299. The reversal of 40425264 is 46252404.

40425264 is a `hidden beast` number, since 404 + 252 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (40425263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223254 + ... + 223434.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 240425264 is an apocalyptic number.

40425264 is a gapful number since it is divisible by the number (44) 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 40425264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64995840).

40425264 is an abundant number, since it is smaller than the sum of its proper divisors (89566416).

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

40425264 is a wasteful number, since it uses less digits than its factorization.

40425264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 40425264 is about 6358.0865046018. The cubic root of 40425264 is about 343.2029047629.

Adding to 40425264 its reverse (46252404), we get a palindrome (86677668).

The spelling of 40425264 in words is "forty million, four hundred twenty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 47 48 54 66 72 88 94 99 108 132 141 144 176 181 188 198 216 264 282 297 362 376 396 423 432 517 528 543 564 594 724 752 792 846 1034 1086 1128 1188 1269 1448 1551 1584 1629 1692 1991 2068 2172 2256 2376 2538 2896 3102 3258 3384 3982 4136 4344 4653 4752 4887 5076 5973 6204 6516 6768 7964 8272 8507 8688 9306 9774 10152 11946 12408 13032 13959 15928 17014 17919 18612 19548 20304 23892 24816 25521 26064 27918 31856 34028 35838 37224 39096 47784 51042 53757 55836 68056 71676 74448 76563 78192 93577 95568 102084 107514 111672 136112 143352 153126 187154 204168 215028 223344 229689 280731 286704 306252 374308 408336 430056 459378 561462 612504 748616 842193 860112 918756 1122924 1225008 1497232 1684386 1837512 2245848 2526579 3368772 3675024 4491696 5053158 6737544 10106316 13475088 20212632 40425264