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41486928 = 2437231569
BaseRepresentation
bin1001111001000…
…0101001010000
32220001202100220
42132100221100
541110040203
64041113040
71012430100
oct236205120
986052326
1041486928
112146681a
1211a88780
1387975a2
14571d200
153997653
hex2790a50

41486928 has 120 divisors (see below), whose sum is σ = 128920320. Its totient is φ = 11450880.

The previous prime is 41486911. The next prime is 41486941. The reversal of 41486928 is 82968414.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 41486928.

It is a congruent number.

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, 72628 + ... + 73196.

It is an arithmetic number, because the mean of its divisors is an integer number (1074336).

Almost surely, 241486928 is an apocalyptic number.

41486928 is a gapful number since it is divisible by the number (48) 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 41486928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64460160).

41486928 is an abundant number, since it is smaller than the sum of its proper divisors (87433392).

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

41486928 is a wasteful number, since it uses less digits than its factorization.

41486928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 612 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 41486928 is about 6441.0346994873. The cubic root of 41486928 is about 346.1814233376.

The spelling of 41486928 in words is "forty-one million, four hundred eighty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 49 56 62 84 93 98 112 124 147 168 186 196 217 248 294 336 372 392 434 496 569 588 651 744 784 868 1138 1176 1302 1488 1519 1707 1736 2276 2352 2604 3038 3414 3472 3983 4552 4557 5208 6076 6828 7966 9104 9114 10416 11949 12152 13656 15932 17639 18228 23898 24304 27312 27881 31864 35278 36456 47796 52917 55762 63728 70556 72912 83643 95592 105834 111524 123473 141112 167286 191184 211668 223048 246946 282224 334572 370419 423336 446096 493892 669144 740838 846672 864311 987784 1338288 1481676 1728622 1975568 2592933 2963352 3457244 5185866 5926704 6914488 10371732 13828976 20743464 41486928