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41981628 = 223132127163
BaseRepresentation
bin1010000000100…
…1011010111100
32220222212222010
42200021122330
541221403003
64055451220
71016560263
oct240113274
986885863
1041981628
1121774467
1212086b10
13890b800
14580b5da
153a44003
hex28096bc

41981628 has 72 divisors (see below), whose sum is σ = 107563008. Its totient is φ = 12737088.

The previous prime is 41981623. The next prime is 41981689. The reversal of 41981628 is 82618914.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41981623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257475 + ... + 257637.

Almost surely, 241981628 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 41981628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53781504).

41981628 is an abundant number, since it is smaller than the sum of its proper divisors (65581380).

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

41981628 is a wasteful number, since it uses less digits than its factorization.

41981628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 308 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 41981628 is about 6479.3231127950. The cubic root of 41981628 is about 347.5519733177.

The spelling of 41981628 in words is "forty-one million, nine hundred eighty-one thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 127 156 163 169 254 326 338 381 489 507 508 652 676 762 978 1014 1524 1651 1956 2028 2119 3302 4238 4953 6357 6604 8476 9906 12714 19812 20701 21463 25428 27547 41402 42926 55094 62103 64389 82641 82804 85852 110188 124206 128778 165282 248412 257556 269113 330564 538226 807339 1076452 1614678 3229356 3498469 6996938 10495407 13993876 20990814 41981628