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40796784 = 243571499
BaseRepresentation
bin1001101110100…
…0001001110000
32211202200200000
42123220021300
540420444114
64014230000
71003524030
oct233501160
984680600
1040796784
1121035256
12117b5300
1385b5412
1455bd8c0
1538ace09
hex26e8270

40796784 has 120 divisors (see below), whose sum is σ = 135408000. Its totient is φ = 11648448.

The previous prime is 40796771. The next prime is 40796797. The reversal of 40796784 is 48769704.

It is an interprime number because it is at equal distance from previous prime (40796771) and next prime (40796797).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 26467 + ... + 27965.

It is an arithmetic number, because the mean of its divisors is an integer number (1128400).

Almost surely, 240796784 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 40796784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67704000).

40796784 is an abundant number, since it is smaller than the sum of its proper divisors (94611216).

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

40796784 is a wasteful number, since it uses less digits than its factorization.

40796784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 40796784 is about 6387.2360219425. The cubic root of 40796784 is about 344.2510786416.

The spelling of 40796784 in words is "forty million, seven hundred ninety-six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1499 1512 1701 1944 2268 2998 3024 3402 3888 4497 4536 5996 6804 8994 9072 10493 11992 13491 13608 17988 20986 23984 26982 27216 31479 35976 40473 41972 53964 62958 71952 80946 83944 94437 107928 121419 125916 161892 167888 188874 215856 242838 251832 283311 323784 364257 377748 485676 503664 566622 647568 728514 755496 849933 971352 1133244 1457028 1510992 1699866 1942704 2266488 2549799 2914056 3399732 4532976 5099598 5828112 6799464 10199196 13598928 20398392 40796784