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40863744 = 21133739
BaseRepresentation
bin1001101111100…
…0100000000000
32211220002112000
42123320200000
540430114434
64015504000
71004223165
oct233704000
984802460
1040863744
1121080599
1211828000
138609a3c
1455da06c
1538c2b99
hex26f8800

40863744 has 96 divisors (see below), whose sum is σ = 121212000. Its totient is φ = 13602816.

The previous prime is 40863743. The next prime is 40863749. The reversal of 40863744 is 44736804.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 40863699 and 40863708.

It is not an unprimeable number, because it can be changed into a prime (40863743) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54927 + ... + 55665.

It is an arithmetic number, because the mean of its divisors is an integer number (1262625).

Almost surely, 240863744 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 40863744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60606000).

40863744 is an abundant number, since it is smaller than the sum of its proper divisors (80348256).

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

40863744 is an equidigital number, since it uses as much as digits as its factorization.

40863744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 40863744 is about 6392.4755768012. The cubic root of 40863744 is about 344.4393161298.

The spelling of 40863744 in words is "forty million, eight hundred sixty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 739 768 864 1024 1152 1478 1536 1728 2048 2217 2304 2956 3072 3456 4434 4608 5912 6144 6651 6912 8868 9216 11824 13302 13824 17736 18432 19953 23648 26604 27648 35472 39906 47296 53208 55296 70944 79812 94592 106416 141888 159624 189184 212832 283776 319248 378368 425664 567552 638496 756736 851328 1135104 1276992 1513472 1702656 2270208 2553984 3405312 4540416 5107968 6810624 10215936 13621248 20431872 40863744