Search a number
-
+
40244256 = 2533133583
BaseRepresentation
bin1001100110000…
…1010000100000
32210201121202000
42121201100200
540300304011
63554324000
7666033123
oct231412040
983647660
1040244256
1120798118
1211589600
138450a90
1454b83ba
1537ee356
hex2661420

40244256 has 96 divisors (see below), whose sum is σ = 126443520. Its totient is φ = 12379392.

The previous prime is 40244251. The next prime is 40244297. The reversal of 40244256 is 65244204.

40244256 is a `hidden beast` number, since 402 + 4 + 4 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (40244251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9441 + ... + 13023.

It is an arithmetic number, because the mean of its divisors is an integer number (1317120).

Almost surely, 240244256 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 40244256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63221760).

40244256 is an abundant number, since it is smaller than the sum of its proper divisors (86199264).

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

40244256 is a wasteful number, since it uses less digits than its factorization.

40244256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3615 (or 3601 counting only the distinct ones).

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

The square root of 40244256 is about 6343.8360634556. The cubic root of 40244256 is about 342.6898970021.

The spelling of 40244256 in words is "forty million, two hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3583 3744 5616 7166 10749 11232 14332 21498 28664 32247 42996 46579 57328 64494 85992 93158 96741 114656 128988 139737 171984 186316 193482 257976 279474 343968 372632 386964 419211 515952 558948 745264 773928 838422 1031904 1117896 1257633 1490528 1547856 1676844 2235792 2515266 3095712 3353688 4471584 5030532 6707376 10061064 13414752 20122128 40244256