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40780656 = 24327231759
BaseRepresentation
bin1001101110010…
…0001101110000
32211201212112200
42123210031300
540414440111
64014023200
71003426020
oct233441560
984655480
1040780656
1121024124
12117a7b00
1385aac87
1455b7a80
1538a8256
hex26e4370

40780656 has 120 divisors (see below), whose sum is σ = 136181760. Its totient is φ = 11138688.

The previous prime is 40780613. The next prime is 40780657. The reversal of 40780656 is 65608704.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40780656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40780657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22305 + ... + 24063.

It is an arithmetic number, because the mean of its divisors is an integer number (1134848).

Almost surely, 240780656 is an apocalyptic number.

40780656 is a gapful number since it is divisible by the number (46) 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 40780656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68090880).

40780656 is an abundant number, since it is smaller than the sum of its proper divisors (95401104).

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

40780656 is a wasteful number, since it uses less digits than its factorization.

40780656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 40780656 is about 6385.9733792117. The cubic root of 40780656 is about 344.2057089446.

The spelling of 40780656 in words is "forty million, seven hundred eighty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 966 1008 1104 1288 1449 1656 1759 1932 2576 2898 3312 3518 3864 5277 5796 7036 7728 10554 11592 12313 14072 15831 21108 23184 24626 28144 31662 36939 40457 42216 49252 63324 73878 80914 84432 98504 110817 121371 126648 147756 161828 197008 221634 242742 253296 283199 295512 323656 364113 443268 485484 566398 591024 647312 728226 849597 886536 970968 1132796 1456452 1699194 1773072 1941936 2265592 2548791 2912904 3398388 4531184 5097582 5825808 6796776 10195164 13593552 20390328 40780656