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54969840 = 2434517499
BaseRepresentation
bin1101000110110…
…0010111110000
310211102202110000
43101230113300
5103033013330
65242110000
71235143632
oct321542760
9124382400
1054969840
1129035722
12164ab300
13b508543
14742ca52
154c5c560
hex346c5f0

54969840 has 200 divisors, whose sum is σ = 202554000. Its totient is φ = 13768704.

The previous prime is 54969809. The next prime is 54969853. The reversal of 54969840 is 4896945.

It is a happy number.

54969840 is a `hidden beast` number, since 549 + 69 + 8 + 40 = 666.

54969840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109911 + ... + 110409.

It is an arithmetic number, because the mean of its divisors is an integer number (1012770).

Almost surely, 254969840 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 54969840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101277000).

54969840 is an abundant number, since it is smaller than the sum of its proper divisors (147584160).

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

54969840 is a wasteful number, since it uses less digits than its factorization.

54969840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 54969840 is about 7414.1648214752. The cubic root of 54969840 is about 380.2257200047.

The spelling of 54969840 in words is "fifty-four million, nine hundred sixty-nine thousand, eight hundred forty".