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40774944 = 2537471291
BaseRepresentation
bin1001101110001…
…0110100100000
32211201120201010
42123202310200
540414244234
64013540520
71003403250
oct233426440
984646633
1040774944
112101a901
12117a4740
1385a84b2
1455b5960
1538a66e9
hex26e2d20

40774944 has 96 divisors (see below), whose sum is σ = 125024256. Its totient is φ = 11393280.

The previous prime is 40774933. The next prime is 40774949. The reversal of 40774944 is 44947704.

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

It is not an unprimeable number, because it can be changed into a prime (40774949) 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, 30939 + ... + 32229.

It is an arithmetic number, because the mean of its divisors is an integer number (1302336).

Almost surely, 240774944 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 40774944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62512128).

40774944 is an abundant number, since it is smaller than the sum of its proper divisors (84249312).

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

40774944 is a wasteful number, since it uses less digits than its factorization.

40774944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 40774944 is about 6385.5261333738. The cubic root of 40774944 is about 344.1896376418.

The spelling of 40774944 in words is "forty million, seven hundred seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 84 94 96 112 141 168 188 224 282 329 336 376 564 658 672 752 987 1128 1291 1316 1504 1974 2256 2582 2632 3873 3948 4512 5164 5264 7746 7896 9037 10328 10528 15492 15792 18074 20656 27111 30984 31584 36148 41312 54222 60677 61968 72296 108444 121354 123936 144592 182031 216888 242708 289184 364062 424739 433776 485416 728124 849478 867552 970832 1274217 1456248 1698956 1941664 2548434 2912496 3397912 5096868 5824992 6795824 10193736 13591648 20387472 40774944