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41649228 = 2239232
BaseRepresentation
bin1001111011100…
…0010001001100
32220101000000000
42132320101030
541130233403
64044404300
71014004215
oct236702114
986330000
1041649228
1121567755
1211b46690
13882341a
14576240c
1539ca7a3
hex27b844c

41649228 has 90 divisors (see below), whose sum is σ = 114287404. Its totient is φ = 13279464.

The previous prime is 41649199. The next prime is 41649229. The reversal of 41649228 is 82294614.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

41649228 is a `hidden beast` number, since 4 + 1 + 649 + 2 + 2 + 8 = 666.

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

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 41649192 and 41649201.

It is not an unprimeable number, because it can be changed into a prime (41649229) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1810825 + ... + 1810847.

Almost surely, 241649228 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 41649228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57143702).

41649228 is an abundant number, since it is smaller than the sum of its proper divisors (72638176).

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

41649228 is an frugal number, since it uses more digits than its factorization.

41649228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 28 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 41649228 is about 6453.6213090016. The cubic root of 41649228 is about 346.6322652418.

Multiplying 41649228 by its product of digits (27648), we get a square (1151517855744 = 10730882).

The spelling of 41649228 in words is "forty-one million, six hundred forty-nine thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 414 486 529 621 729 828 972 1058 1242 1458 1587 1863 2116 2187 2484 2916 3174 3726 4374 4761 5589 6348 6561 7452 8748 9522 11178 13122 14283 16767 19044 19683 22356 26244 28566 33534 39366 42849 50301 57132 67068 78732 85698 100602 128547 150903 171396 201204 257094 301806 385641 452709 514188 603612 771282 905418 1156923 1542564 1810836 2313846 3470769 4627692 6941538 10412307 13883076 20824614 41649228