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54411940 = 225111671481
BaseRepresentation
bin1100111110010…
…0001010100100
310210101102011001
43033210022210
5102412140230
65222123044
71230331252
oct317441244
9123342131
1054411940
1128794550
1216280484
13b37161b
1473255d2
154b9c0ca
hex33e42a4

54411940 has 48 divisors (see below), whose sum is σ = 125483904. Its totient is φ = 19654400.

The previous prime is 54411923. The next prime is 54411943. The reversal of 54411940 is 4911445.

It is a junction number, because it is equal to n+sod(n) for n = 54411899 and 54411908.

It is not an unprimeable number, because it can be changed into a prime (54411943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36000 + ... + 37480.

It is an arithmetic number, because the mean of its divisors is an integer number (2614248).

Almost surely, 254411940 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 54411940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62741952).

54411940 is an abundant number, since it is smaller than the sum of its proper divisors (71071964).

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

54411940 is a wasteful number, since it uses less digits than its factorization.

54411940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 54411940 is about 7376.4449431959. Note that the first 3 decimals coincide. The cubic root of 54411940 is about 378.9350143728.

It can be divided in two parts, 5441 and 1940, that added together give a triangular number (7381 = T121).

The spelling of 54411940 in words is "fifty-four million, four hundred eleven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 167 220 334 668 835 1481 1670 1837 2962 3340 3674 5924 7348 7405 9185 14810 16291 18370 29620 32582 36740 65164 81455 162910 247327 325820 494654 989308 1236635 2473270 2720597 4946540 5441194 10882388 13602985 27205970 54411940