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54288276 = 22372175431
BaseRepresentation
bin1100111100010…
…1111110010100
310210011010111220
43033011332110
5102344211101
65215330340
71226304600
oct317057624
9123133456
1054288276
112870a649
12162209b0
13b32a253
1472d2500
154b75636
hex33c5f94

54288276 has 72 divisors (see below), whose sum is σ = 156050496. Its totient is φ = 14595840.

The previous prime is 54288253. The next prime is 54288277. The reversal of 54288276 is 67288245.

It is a happy number.

It is a super-2 number, since 2×542882762 = 5894433822104352, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54288277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7281 + ... + 12711.

It is an arithmetic number, because the mean of its divisors is an integer number (2167368).

Almost surely, 254288276 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 54288276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78025248).

54288276 is an abundant number, since it is smaller than the sum of its proper divisors (101762220).

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

54288276 is a wasteful number, since it uses less digits than its factorization.

54288276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5469 (or 5460 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 54288276 is about 7368.0578173627. The cubic root of 54288276 is about 378.6477234760.

The spelling of 54288276 in words is "fifty-four million, two hundred eighty-eight thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 357 476 588 714 833 1428 1666 2499 3332 4998 5431 9996 10862 16293 21724 32586 38017 65172 76034 92327 114051 152068 184654 228102 266119 276981 369308 456204 532238 553962 646289 798357 1064476 1107924 1292578 1596714 1938867 2585156 3193428 3877734 4524023 7755468 9048046 13572069 18096092 27144138 54288276