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41092968 = 2337283421
BaseRepresentation
bin1001110011000…
…0011101101000
32212022201221210
42130300131220
541004433333
64024433120
71006166400
oct234603550
985281853
1041092968
1121217834
12119187a0
13868a187
145659800
15391aa63
hex2730768

41092968 has 96 divisors (see below), whose sum is σ = 121232160. Its totient is φ = 11571840.

The previous prime is 41092963. The next prime is 41092979. The reversal of 41092968 is 86929014.

41092968 = T192 + T193 + ... + T632.

It is not an unprimeable number, because it can be changed into a prime (41092963) 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, 97398 + ... + 97818.

It is an arithmetic number, because the mean of its divisors is an integer number (1262835).

Almost surely, 241092968 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 41092968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60616080).

41092968 is an abundant number, since it is smaller than the sum of its proper divisors (80139192).

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

41092968 is a wasteful number, since it uses less digits than its factorization.

41092968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 41092968 is about 6410.3797079424. The cubic root of 41092968 is about 345.0821564476.

The spelling of 41092968 in words is "forty-one million, ninety-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 83 84 98 147 166 168 196 249 294 332 392 421 498 581 588 664 842 996 1162 1176 1263 1684 1743 1992 2324 2526 2947 3368 3486 4067 4648 5052 5894 6972 8134 8841 10104 11788 12201 13944 16268 17682 20629 23576 24402 32536 34943 35364 41258 48804 61887 69886 70728 82516 97608 104829 123774 139772 165032 209658 244601 247548 279544 419316 489202 495096 733803 838632 978404 1467606 1712207 1956808 2935212 3424414 5136621 5870424 6848828 10273242 13697656 20546484 41092968