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41139456 = 2831723137
BaseRepresentation
bin1001110011101…
…1110100000000
32212102002201120
42130323310000
541012430311
64025432240
71006452051
oct234736400
985362646
1041139456
1121249756
121193b680
1386a5397
14566c728
153929706
hex273bd00

41139456 has 144 divisors (see below), whose sum is σ = 121855104. Its totient is φ = 12255232.

The previous prime is 41139451. The next prime is 41139493. The reversal of 41139456 is 65493114.

41139456 = 21342 + 21352 + ... + 21422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41139451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300220 + ... + 300356.

It is an arithmetic number, because the mean of its divisors is an integer number (846216).

Almost surely, 241139456 is an apocalyptic number.

41139456 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 41139456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60927552).

41139456 is an abundant number, since it is smaller than the sum of its proper divisors (80715648).

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

41139456 is a wasteful number, since it uses less digits than its factorization.

41139456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 182 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 41139456 is about 6414.0046772668. The cubic root of 41139456 is about 345.2122365596.

The spelling of 41139456 in words is "forty-one million, one hundred thirty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 68 69 92 96 102 128 136 137 138 184 192 204 256 272 274 276 368 384 391 408 411 544 548 552 736 768 782 816 822 1088 1096 1104 1173 1472 1564 1632 1644 2176 2192 2208 2329 2346 2944 3128 3151 3264 3288 4352 4384 4416 4658 4692 5888 6256 6302 6528 6576 6987 8768 8832 9316 9384 9453 12512 12604 13056 13152 13974 17536 17664 18632 18768 18906 25024 25208 26304 27948 35072 37264 37536 37812 50048 50416 52608 53567 55896 74528 75072 75624 100096 100832 105216 107134 111792 149056 150144 151248 160701 201664 214268 223584 298112 300288 302496 321402 403328 428536 447168 596224 604992 642804 806656 857072 894336 1209984 1285608 1714144 1788672 2419968 2571216 3428288 5142432 6856576 10284864 13713152 20569728 41139456