Search a number
BaseRepresentation
bin1001111110000…
…0101101110100
32220200102021000
42133200231310
541201034100
64052123300
71015264221
oct237405564
986612230
1041814900
1121670176
1212006530
13888095a
1457a6948
153a0e900
hex27e0b74

41814900 has 144 divisors (see below), whose sum is σ = 142490880. Its totient is φ = 10483200.

The previous prime is 41814889. The next prime is 41814923. The reversal of 41814900 is 941814.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45445 + ... + 46355.

It is an arithmetic number, because the mean of its divisors is an integer number (989520).

Almost surely, 241814900 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 41814900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71245440).

41814900 is an abundant number, since it is smaller than the sum of its proper divisors (100675980).

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

41814900 is a wasteful number, since it uses less digits than its factorization.

41814900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 41814900 is about 6466.4441542474. Note that the first 3 decimals coincide. The cubic root of 41814900 is about 347.0912676183.

The spelling of 41814900 in words is "forty-one million, eight hundred fourteen thousand, nine hundred".