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541534812 = 2237132371031
BaseRepresentation
bin100000010001110…
…010101001011100
31101201222211002220
4200101302221130
52102113103222
6125422545340
716263653460
oct4021625134
91351884086
10541534812
11258756135
12131438250
1388268400
1451cc84a0
153281eb5c
hex20472a5c

541534812 has 144 divisors (see below), whose sum is σ = 1607542272. Its totient is φ = 138827520.

The previous prime is 541534787. The next prime is 541534837. The reversal of 541534812 is 218435145.

It is an interprime number because it is at equal distance from previous prime (541534787) and next prime (541534837).

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, 524737 + ... + 525767.

It is an arithmetic number, because the mean of its divisors is an integer number (11163488).

Almost surely, 2541534812 is an apocalyptic number.

541534812 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541534812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803771136).

541534812 is an abundant number, since it is smaller than the sum of its proper divisors (1066007460).

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

541534812 is a wasteful number, since it uses less digits than its factorization.

541534812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1093 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 541534812 is about 23270.9005412339. The cubic root of 541534812 is about 815.0960590354.

Adding to 541534812 its reverse (218435145), we get a palindrome (759969957).

The spelling of 541534812 in words is "five hundred forty-one million, five hundred thirty-four thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 52 74 78 84 91 111 148 156 169 182 222 259 273 338 364 444 481 507 518 546 676 777 962 1014 1031 1036 1092 1183 1443 1554 1924 2028 2062 2366 2886 3093 3108 3367 3549 4124 4732 5772 6186 6253 6734 7098 7217 10101 12372 12506 13403 13468 14196 14434 18759 20202 21651 25012 26806 28868 37518 38147 40209 40404 43302 43771 53612 75036 76294 80418 86604 87542 93821 114441 131313 152588 160836 174239 175084 187642 228882 262626 267029 281463 348478 375284 457764 495911 522717 525252 534058 562926 696956 801087 991822 1045434 1068116 1125852 1219673 1487733 1602174 1983644 2090868 2439346 2975466 3204348 3471377 3659019 4878692 5950932 6446843 6942754 7318038 10414131 12893686 13885508 14636076 19340529 20828262 25787372 38681058 41656524 45127901 77362116 90255802 135383703 180511604 270767406 541534812