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54562716 = 2232132337137
BaseRepresentation
bin1101000000100…
…0111110011100
310210200001222100
43100020332130
5102432001331
65225245100
71231526655
oct320107634
9123601870
1054562716
112888785a
1216333790
13b3c5140
14736452c
154bcbae6
hex3408f9c

54562716 has 144 divisors (see below), whose sum is σ = 160340544. Its totient is φ = 15510528.

The previous prime is 54562709. The next prime is 54562733. The reversal of 54562716 is 61726545.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 398200 + ... + 398336.

It is an arithmetic number, because the mean of its divisors is an integer number (1113476).

Almost surely, 254562716 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 54562716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80170272).

54562716 is an abundant number, since it is smaller than the sum of its proper divisors (105777828).

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

54562716 is a wasteful number, since it uses less digits than its factorization.

54562716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 215 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 54562716 is about 7386.6579723174. The cubic root of 54562716 is about 379.2847024106.

It can be divided in two parts, 54562 and 716, that added together give a triangular number (55278 = T332).

The spelling of 54562716 in words is "fifty-four million, five hundred sixty-two thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 37 39 46 52 69 74 78 92 111 117 137 138 148 156 207 222 234 274 276 299 333 411 414 444 468 481 548 598 666 822 828 851 897 962 1196 1233 1332 1443 1644 1702 1781 1794 1924 2466 2553 2691 2886 3151 3404 3562 3588 4329 4932 5069 5106 5343 5382 5772 6302 7124 7659 8658 9453 10138 10212 10686 10764 11063 12604 15207 15318 16029 17316 18906 20276 21372 22126 28359 30414 30636 32058 33189 37812 40963 44252 45621 56718 60828 64116 65897 66378 81926 91242 99567 113436 116587 122889 131794 132756 163852 182484 197691 199134 233174 245778 263588 349761 368667 395382 398268 466348 491556 593073 699522 737334 790764 1049283 1186146 1399044 1474668 1515631 2098566 2372292 3031262 4197132 4546893 6062524 9093786 13640679 18187572 27281358 54562716