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40946256 = 24331323317
BaseRepresentation
bin1001110000110…
…0101001010000
32212001021201000
42130030221100
540440240011
64021342000
71005015561
oct234145120
985037630
1040946256
112112758a
1211867900
138638470
14561c168
1538dc356
hex270ca50

40946256 has 160 divisors (see below), whose sum is σ = 132491520. Its totient is φ = 12013056.

The previous prime is 40946239. The next prime is 40946261. The reversal of 40946256 is 65264904.

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 40946256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129010 + ... + 129326.

It is an arithmetic number, because the mean of its divisors is an integer number (828072).

Almost surely, 240946256 is an apocalyptic number.

40946256 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 40946256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66245760).

40946256 is an abundant number, since it is smaller than the sum of its proper divisors (91545264).

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

40946256 is a wasteful number, since it uses less digits than its factorization.

40946256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 40946256 is about 6398.9261599115. The cubic root of 40946256 is about 344.6709906878.

It can be divided in two parts, 409 and 46256, that added together give a triangular number (46665 = T305).

The spelling of 40946256 in words is "forty million, nine hundred forty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 36 39 46 48 52 54 69 72 78 92 104 108 117 138 144 156 184 207 208 216 234 276 299 312 317 351 368 414 432 468 552 598 621 624 634 702 828 897 936 951 1104 1196 1242 1268 1404 1656 1794 1872 1902 2392 2484 2536 2691 2808 2853 3312 3588 3804 4121 4784 4968 5072 5382 5616 5706 7176 7291 7608 8073 8242 8559 9936 10764 11412 12363 14352 14582 15216 16146 16484 17118 21528 21873 22824 24726 29164 32292 32968 34236 37089 43056 43746 45648 49452 58328 64584 65619 65936 68472 74178 87492 94783 98904 111267 116656 129168 131238 136944 148356 174984 189566 196857 197808 222534 262476 284349 296712 349968 379132 393714 445068 524952 568698 593424 758264 787428 853047 890136 1049904 1137396 1516528 1574856 1706094 1780272 2274792 2559141 3149712 3412188 4549584 5118282 6824376 10236564 13648752 20473128 40946256