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41996448 = 2533133739
BaseRepresentation
bin1010000000110…
…1000010100000
32221000122022000
42200031002200
541222341243
64100044000
71016651424
oct240150240
987018260
1041996448
112178460a
1212093600
138915490
145812b84
153a485d3
hex280d0a0

41996448 has 96 divisors (see below), whose sum is σ = 131947200. Its totient is φ = 12918528.

The previous prime is 41996447. The next prime is 41996453. The reversal of 41996448 is 84469914.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (41996447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9363 + ... + 13101.

It is an arithmetic number, because the mean of its divisors is an integer number (1374450).

Almost surely, 241996448 is an apocalyptic number.

41996448 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 41996448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65973600).

41996448 is an abundant number, since it is smaller than the sum of its proper divisors (89950752).

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

41996448 is a wasteful number, since it uses less digits than its factorization.

41996448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771 (or 3757 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 41996448 is about 6480.4666498640. The cubic root of 41996448 is about 347.5928651278.

The spelling of 41996448 in words is "forty-one million, nine hundred ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3739 3744 5616 7478 11217 11232 14956 22434 29912 33651 44868 48607 59824 67302 89736 97214 100953 119648 134604 145821 179472 194428 201906 269208 291642 358944 388856 403812 437463 538416 583284 777712 807624 874926 1076832 1166568 1312389 1555424 1615248 1749852 2333136 2624778 3230496 3499704 4666272 5249556 6999408 10499112 13998816 20998224 41996448