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54034464 = 2531151169
BaseRepresentation
bin1100111000100…
…0000000100000
310202200020100110
43032020000200
5102313100324
65210051320
71224166611
oct316100040
9122606313
1054034464
1128556990
1216119b40
13b26b873
147267c08
154b25329
hex3388020

54034464 has 48 divisors (see below), whose sum is σ = 154738080. Its totient is φ = 16373760.

The previous prime is 54034459. The next prime is 54034469. The reversal of 54034464 is 46443045.

It is an interprime number because it is at equal distance from previous prime (54034459) and next prime (54034469).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (54034469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24529 + ... + 26640.

It is an arithmetic number, because the mean of its divisors is an integer number (3223710).

Almost surely, 254034464 is an apocalyptic number.

It is an amenable number.

54034464 is an abundant number, since it is smaller than the sum of its proper divisors (100703616).

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

54034464 is a wasteful number, since it uses less digits than its factorization.

54034464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51193 (or 51185 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 54034464 is about 7350.8138324950. The cubic root of 54034464 is about 378.0567088291.

The spelling of 54034464 in words is "fifty-four million, thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 51169 102338 153507 204676 307014 409352 562859 614028 818704 1125718 1228056 1637408 1688577 2251436 2456112 3377154 4502872 4912224 6754308 9005744 13508616 18011488 27017232 54034464