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40879440 = 2432578111
BaseRepresentation
bin1001101111110…
…0010101010000
32211220220001100
42123330111100
540431120230
64020104400
71004320020
oct233742520
984826040
1040879440
1121091368
1211835100
138613c24
145601a80
1538c7660
hex26fc550

40879440 has 120 divisors (see below), whose sum is σ = 156918528. Its totient is φ = 9342720.

The previous prime is 40879439. The next prime is 40879453. The reversal of 40879440 is 4497804.

40879440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×408794402 = 3342257229427200, which contains 22 as substring.

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 = 40879395 and 40879404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 985 + ... + 9095.

Almost surely, 240879440 is an apocalyptic number.

40879440 is a gapful number since it is divisible by the number (40) 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 40879440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78459264).

40879440 is an abundant number, since it is smaller than the sum of its proper divisors (116039088).

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

40879440 is a wasteful number, since it uses less digits than its factorization.

40879440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8137 (or 8128 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 40879440 is about 6393.7031523210. The cubic root of 40879440 is about 344.4834108612.

The spelling of 40879440 in words is "forty million, eight hundred seventy-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 8111 16222 24333 32444 40555 48666 56777 64888 72999 81110 97332 113554 121665 129776 145998 162220 170331 194664 227108 243330 283885 291996 324440 340662 364995 389328 454216 486660 510993 567770 583992 648880 681324 729990 851655 908432 973320 1021986 1135540 1167984 1362648 1459980 1703310 1946640 2043972 2271080 2554965 2725296 2919960 3406620 4087944 4542160 5109930 5839920 6813240 8175888 10219860 13626480 20439720 40879440