Search a number
-
+
54014415 = 3572135653
BaseRepresentation
bin1100111000001…
…1000111001111
310202122012211220
43032003013033
5102311430130
65205414423
71224054300
oct316030717
9122565756
1054014415
1128542914
121610a413
13b2626c0
1472607a7
154b1e410
hex33831cf

54014415 has 48 divisors (see below), whose sum is σ = 108285408. Its totient is φ = 22788864.

The previous prime is 54014399. The next prime is 54014479. The reversal of 54014415 is 51441045.

It is a happy number.

It is not a de Polignac number, because 54014415 - 24 = 54014399 is a prime.

It is a zygodrome in base 2.

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, 6729 + ... + 12381.

It is an arithmetic number, because the mean of its divisors is an integer number (2255946).

Almost surely, 254014415 is an apocalyptic number.

54014415 is an abundant number, since it is smaller than the sum of its proper divisors (54270993).

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

54014415 is a wasteful number, since it uses less digits than its factorization.

54014415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5688 (or 5681 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 54014415 is about 7349.4499794202. The cubic root of 54014415 is about 378.0099448687.

It can be divided in two parts, 540 and 14415, that multiplied together give a square (7784100 = 27902).

The spelling of 54014415 in words is "fifty-four million, fourteen thousand, four hundred fifteen".

Divisors: 1 3 5 7 13 15 21 35 39 49 65 91 105 147 195 245 273 455 637 735 1365 1911 3185 5653 9555 16959 28265 39571 73489 84795 118713 197855 220467 276997 367445 514423 593565 830991 1102335 1384985 1543269 2572115 3600961 4154955 7716345 10802883 18004805 54014415