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41329568 = 257307601
BaseRepresentation
bin1001110110101…
…0001110100000
32212202202111202
42131222032200
541040021233
64033500332
71011203240
oct235521640
985682452
1041329568
1121369575
1211a116a8
138740a87
1456bbb20
153965be8
hex276a3a0

41329568 has 48 divisors (see below), whose sum is σ = 93449664. Its totient is φ = 17625600.

The previous prime is 41329549. The next prime is 41329573. The reversal of 41329568 is 86592314.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68468 + ... + 69068.

It is an arithmetic number, because the mean of its divisors is an integer number (1946868).

Almost surely, 241329568 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 41329568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46724832).

41329568 is an abundant number, since it is smaller than the sum of its proper divisors (52120096).

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

41329568 is a wasteful number, since it uses less digits than its factorization.

41329568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 917 counting only the distinct ones).

The product of its digits is 51840, while the sum is 38.

The square root of 41329568 is about 6428.8076655007. The cubic root of 41329568 is about 345.7431798423.

The spelling of 41329568 in words is "forty-one million, three hundred twenty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 307 601 614 1202 1228 2149 2404 2456 4207 4298 4808 4912 8414 8596 9616 9824 16828 17192 19232 33656 34384 67312 68768 134624 184507 369014 738028 1291549 1476056 2583098 2952112 5166196 5904224 10332392 20664784 41329568