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41212880 = 245737057
BaseRepresentation
bin1001110100110…
…1101111010000
32212112211102222
42131031233100
541022303010
64031200212
71010206112
oct235155720
985484388
1041212880
1121299935
1211976068
1386cc927
14568b3b2
153941355
hex274dbd0

41212880 has 40 divisors (see below), whose sum is σ = 97146312. Its totient is φ = 16257024.

The previous prime is 41212859. The next prime is 41212933. The reversal of 41212880 is 8821214.

It can be written as a sum of positive squares in 4 ways, for example, as 18593344 + 22619536 = 4312^2 + 4756^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2312 + ... + 9368.

Almost surely, 241212880 is an apocalyptic number.

41212880 is a gapful number since it is divisible by the number (40) 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 41212880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48573156).

41212880 is an abundant number, since it is smaller than the sum of its proper divisors (55933432).

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

41212880 is a wasteful number, since it uses less digits than its factorization.

41212880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7143 (or 7137 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 41212880 is about 6419.7258508444. The cubic root of 41212880 is about 345.4174880085.

The spelling of 41212880 in words is "forty-one million, two hundred twelve thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 7057 14114 28228 35285 56456 70570 112912 141140 282280 515161 564560 1030322 2060644 2575805 4121288 5151610 8242576 10303220 20606440 41212880