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41429024 = 2571341347
BaseRepresentation
bin1001111000001…
…0100000100000
32212221210221022
42132002200200
541101212044
64035545012
71012066220
oct236024040
985853838
1041429024
112142726a
1211a5b168
138777120
145706080
1539853ee
hex2782820

41429024 has 96 divisors (see below), whose sum is σ = 103130496. Its totient is φ = 15943680.

The previous prime is 41429021. The next prime is 41429027. The reversal of 41429024 is 42092414.

It is an interprime number because it is at equal distance from previous prime (41429021) and next prime (41429027).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 41428984 and 41429002.

It is not an unprimeable number, because it can be changed into a prime (41429021) 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, 119219 + ... + 119565.

It is an arithmetic number, because the mean of its divisors is an integer number (1074276).

Almost surely, 241429024 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 41429024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51565248).

41429024 is an abundant number, since it is smaller than the sum of its proper divisors (61701472).

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

41429024 is a wasteful number, since it uses less digits than its factorization.

41429024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 41429024 is about 6436.5381999954. The cubic root of 41429024 is about 346.0202912799.

The spelling of 41429024 in words is "forty-one million, four hundred twenty-nine thousand, twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 41 52 56 82 91 104 112 164 182 208 224 287 328 347 364 416 533 574 656 694 728 1066 1148 1312 1388 1456 2132 2296 2429 2776 2912 3731 4264 4511 4592 4858 5552 7462 8528 9022 9184 9716 11104 14227 14924 17056 18044 19432 28454 29848 31577 36088 38864 56908 59696 63154 72176 77728 99589 113816 119392 126308 144352 184951 199178 227632 252616 369902 398356 455264 505232 739804 796712 1010464 1294657 1479608 1593424 2589314 2959216 3186848 5178628 5918432 10357256 20714512 41429024