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41294088 = 233211173067
BaseRepresentation
bin1001110110000…
…1100100001000
32212200221211200
42131201210020
541032402323
64033024200
71010664633
oct235414410
985627750
1041294088
1121344950
12119b5060
13872a894
1456acc1a
15395a443
hex2761908

41294088 has 96 divisors (see below), whose sum is σ = 129224160. Its totient is φ = 11773440.

The previous prime is 41294069. The next prime is 41294107. The reversal of 41294088 is 88049214.

It is an interprime number because it is at equal distance from previous prime (41294069) and next prime (41294107).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11931 + ... + 14997.

It is an arithmetic number, because the mean of its divisors is an integer number (1346085).

It is a vampire number, since it can be written as 44889201 (with its own digits).

Almost surely, 241294088 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 41294088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64612080).

41294088 is an abundant number, since it is smaller than the sum of its proper divisors (87930072).

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

41294088 is a wasteful number, since it uses less digits than its factorization.

41294088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 41294088 is about 6426.0476188712. The cubic root of 41294088 is about 345.6442153435.

The spelling of 41294088 in words is "forty-one million, two hundred ninety-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 264 306 374 396 408 561 612 748 792 1122 1224 1496 1683 2244 3067 3366 4488 6134 6732 9201 12268 13464 18402 24536 27603 33737 36804 52139 55206 67474 73608 101211 104278 110412 134948 156417 202422 208556 220824 269896 303633 312834 404844 417112 469251 573529 607266 625668 809688 938502 1147058 1214532 1251336 1720587 1877004 2294116 2429064 3441174 3754008 4588232 5161761 6882348 10323522 13764696 20647044 41294088