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542631276 = 2232112432897
BaseRepresentation
bin100000010101111…
…110010101101100
31101211001112011200
4200111332111230
52102403200101
6125502245500
716306201245
oct4025762554
91354045150
10542631276
11259334a00
12131886890
13885604c5
14520d1ccc
1532989986
hex2057e56c

542631276 has 108 divisors (see below), whose sum is σ = 1543277736. Its totient is φ = 160554240.

The previous prime is 542631253. The next prime is 542631277. The reversal of 542631276 is 672136245.

542631276 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 542631276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542631277) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 185860 + ... + 188756.

Almost surely, 2542631276 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 542631276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771638868).

542631276 is an abundant number, since it is smaller than the sum of its proper divisors (1000646460).

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

542631276 is a wasteful number, since it uses less digits than its factorization.

542631276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972 (or 2956 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 542631276 is about 23294.4473211965. The cubic root of 542631276 is about 815.6458057669.

The spelling of 542631276 in words is "five hundred forty-two million, six hundred thirty-one thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 121 129 132 172 198 242 258 363 387 396 473 484 516 726 774 946 1089 1419 1452 1548 1892 2178 2838 2897 4257 4356 5203 5676 5794 8514 8691 10406 11588 15609 17028 17382 20812 26073 31218 31867 34764 46827 52146 62436 63734 93654 95601 104292 124571 127468 187308 191202 249142 286803 350537 373713 382404 498284 573606 701074 747426 1051611 1121139 1147212 1370281 1402148 1494852 2103222 2242278 2740562 3154833 4110843 4206444 4484556 5481124 6309666 8221686 12332529 12619332 15073091 16443372 24665058 30146182 45219273 49330116 60292364 90438546 135657819 180877092 271315638 542631276