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54137919 = 31137101439
BaseRepresentation
bin1100111010000…
…1010000111111
310202212111021010
43032201100333
5102324403134
65212210303
71225110333
oct316412077
9122774233
1054137919
1128617690
1216169993
13b2a6994
1472937c3
154b45ce9
hex33a143f

54137919 has 32 divisors (see below), whose sum is σ = 81861120. Its totient is φ = 31536000.

The previous prime is 54137887. The next prime is 54137921. The reversal of 54137919 is 91973145.

It is a happy number.

It is not a de Polignac number, because 54137919 - 25 = 54137887 is a prime.

It is a super-2 number, since 2×541379192 = 5861828547301122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54137959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123102 + ... + 123540.

It is an arithmetic number, because the mean of its divisors is an integer number (2558160).

Almost surely, 254137919 is an apocalyptic number.

54137919 is a deficient number, since it is larger than the sum of its proper divisors (27723201).

54137919 is a wasteful number, since it uses less digits than its factorization.

54137919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591.

The product of its digits is 34020, while the sum is 39.

The square root of 54137919 is about 7357.8474433764. The cubic root of 54137919 is about 378.2978322350.

The spelling of 54137919 in words is "fifty-four million, one hundred thirty-seven thousand, nine hundred nineteen".

Divisors: 1 3 11 33 37 101 111 303 407 439 1111 1221 1317 3333 3737 4829 11211 14487 16243 41107 44339 48729 123321 133017 178673 487729 536019 1463187 1640543 4921629 18045973 54137919