Search a number
-
+
41236992 = 293319157
BaseRepresentation
bin1001110101001…
…1101000000000
32212121001112000
42131103220000
541024040432
64031504000
71010336316
oct235235000
985531460
1041236992
1121305a65
1211988000
13870a8b4
1456960b6
15394857c
hex2753a00

41236992 has 160 divisors (see below), whose sum is σ = 129307200. Its totient is φ = 12939264.

The previous prime is 41236969. The next prime is 41236997. The reversal of 41236992 is 29963214.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41236997) 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, 262578 + ... + 262734.

It is an arithmetic number, because the mean of its divisors is an integer number (808170).

Almost surely, 241236992 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 41236992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64653600).

41236992 is an abundant number, since it is smaller than the sum of its proper divisors (88070208).

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

41236992 is a wasteful number, since it uses less digits than its factorization.

41236992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 181 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 41236992 is about 6421.6035380581. The cubic root of 41236992 is about 345.4848381729.

The spelling of 41236992 in words is "forty-one million, two hundred thirty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 157 171 192 216 228 256 288 304 314 342 384 432 456 471 512 513 576 608 628 684 768 864 912 942 1026 1152 1216 1256 1368 1413 1536 1728 1824 1884 2052 2304 2432 2512 2736 2826 2983 3456 3648 3768 4104 4239 4608 4864 5024 5472 5652 5966 6912 7296 7536 8208 8478 8949 9728 10048 10944 11304 11932 13824 14592 15072 16416 16956 17898 20096 21888 22608 23864 26847 29184 30144 32832 33912 35796 40192 43776 45216 47728 53694 60288 65664 67824 71592 80384 80541 87552 90432 95456 107388 120576 131328 135648 143184 161082 180864 190912 214776 241152 262656 271296 286368 322164 361728 381824 429552 542592 572736 644328 723456 763648 859104 1085184 1145472 1288656 1527296 1718208 2170368 2290944 2577312 3436416 4581888 5154624 6872832 10309248 13745664 20618496 41236992