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40841900 = 225211107347
BaseRepresentation
bin1001101111001…
…1001010101100
32211211222112222
42123303022230
540423420100
64015214512
71004102411
oct233631254
984758488
1040841900
1121066140
1211817438
1385ccb08
1455d2108
1538bb485
hex26f32ac

40841900 has 72 divisors (see below), whose sum is σ = 97868736. Its totient is φ = 14670400.

The previous prime is 40841897. The next prime is 40841903. The reversal of 40841900 is 914804.

It is an interprime number because it is at equal distance from previous prime (40841897) and next prime (40841903).

It is a super-2 number, since 2×408419002 = 3336121591220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40841900.

It is not an unprimeable number, because it can be changed into a prime (40841903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117527 + ... + 117873.

It is an arithmetic number, because the mean of its divisors is an integer number (1359288).

Almost surely, 240841900 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 40841900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48934368).

40841900 is an abundant number, since it is smaller than the sum of its proper divisors (57026836).

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

40841900 is a wasteful number, since it uses less digits than its factorization.

40841900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 40841900 is about 6390.7667771559. The cubic root of 40841900 is about 344.3779310425.

The spelling of 40841900 in words is "forty million, eight hundred forty-one thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 107 110 214 220 275 347 428 535 550 694 1070 1100 1177 1388 1735 2140 2354 2675 3470 3817 4708 5350 5885 6940 7634 8675 10700 11770 15268 17350 19085 23540 29425 34700 37129 38170 58850 74258 76340 95425 117700 148516 185645 190850 371290 381700 408419 742580 816838 928225 1633676 1856450 2042095 3712900 4084190 8168380 10210475 20420950 40841900