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41379264 = 2632192199
BaseRepresentation
bin1001110111011…
…0010111000000
32212212021200100
42131312113000
541043114024
64034522400
71011501153
oct235662700
985767610
1041379264
11213a2943
1211a36400
13875a594
1456d1c9a
1539757c9
hex27765c0

41379264 has 126 divisors (see below), whose sum is σ = 125806200. Its totient is φ = 13001472.

The previous prime is 41379263. The next prime is 41379271. The reversal of 41379264 is 46297314.

41379264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41379263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 207837 + ... + 208035.

Almost surely, 241379264 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 41379264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62903100).

41379264 is an abundant number, since it is smaller than the sum of its proper divisors (84426936).

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

41379264 is a wasteful number, since it uses less digits than its factorization.

41379264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 223 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 41379264 is about 6432.6716067276. The cubic root of 41379264 is about 345.8817019040.

The spelling of 41379264 in words is "forty-one million, three hundred seventy-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 199 228 288 304 342 361 398 456 576 597 608 684 722 796 912 1083 1194 1216 1368 1444 1592 1791 1824 2166 2388 2736 2888 3184 3249 3582 3648 3781 4332 4776 5472 5776 6368 6498 7164 7562 8664 9552 10944 11343 11552 12736 12996 14328 15124 17328 19104 22686 23104 25992 28656 30248 34029 34656 38208 45372 51984 57312 60496 68058 69312 71839 90744 103968 114624 120992 136116 143678 181488 207936 215517 241984 272232 287356 362976 431034 544464 574712 646551 725952 862068 1088928 1149424 1293102 1724136 2177856 2298848 2586204 3448272 4597696 5172408 6896544 10344816 13793088 20689632 41379264