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41385096 = 23322367373
BaseRepresentation
bin1001110111011…
…1110010001000
32212212120200100
42131313302020
541043310341
64035005400
71011524154
oct235676210
985776610
1041385096
11213a7265
1211a39860
13876012c
1456d4064
1539773b6
hex2777c88

41385096 has 96 divisors (see below), whose sum is σ = 119021760. Its totient is φ = 12963456.

The previous prime is 41385083. The next prime is 41385101. The reversal of 41385096 is 69058314.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 41385096.

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, 110766 + ... + 111138.

It is an arithmetic number, because the mean of its divisors is an integer number (1239810).

Almost surely, 241385096 is an apocalyptic number.

41385096 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 41385096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59510880).

41385096 is an abundant number, since it is smaller than the sum of its proper divisors (77636664).

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

41385096 is a wasteful number, since it uses less digits than its factorization.

41385096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 41385096 is about 6433.1249016322. The cubic root of 41385096 is about 345.8979506812.

The spelling of 41385096 in words is "forty-one million, three hundred eighty-five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 67 69 72 92 134 138 184 201 207 268 276 373 402 414 536 552 603 746 804 828 1119 1206 1492 1541 1608 1656 2238 2412 2984 3082 3357 4476 4623 4824 6164 6714 8579 8952 9246 12328 13428 13869 17158 18492 24991 25737 26856 27738 34316 36984 49982 51474 55476 68632 74973 77211 99964 102948 110952 149946 154422 199928 205896 224919 299892 308844 449838 574793 599784 617688 899676 1149586 1724379 1799352 2299172 3448758 4598344 5173137 6897516 10346274 13795032 20692548 41385096