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55201410 = 232511237137
BaseRepresentation
bin1101001010010…
…0111010000010
310211212112002200
43102210322002
5103112421120
65251054030
71240130025
oct322447202
9124775080
1055201410
1129183700
12165a1316
13b589a74
14748d1bc
154ca5e90
hex34a4e82

55201410 has 144 divisors (see below), whose sum is σ = 163203768. Its totient is φ = 12925440.

The previous prime is 55201387. The next prime is 55201427. The reversal of 55201410 is 1410255.

55201410 is a `hidden beast` number, since 5 + 520 + 141 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53187849 + 2013561 = 7293^2 + 1419^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 402862 + ... + 402998.

Almost surely, 255201410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55201410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81601884).

55201410 is an abundant number, since it is smaller than the sum of its proper divisors (108002358).

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

55201410 is a wasteful number, since it uses less digits than its factorization.

55201410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 55201410 is about 7429.7651376070. The cubic root of 55201410 is about 380.7588943063.

Adding to 55201410 its reverse (1410255), we get a palindrome (56611665).

It can be divided in two parts, 55201 and 410, that added together give a triangular number (55611 = T333).

The spelling of 55201410 in words is "fifty-five million, two hundred one thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 121 137 165 185 198 222 242 274 330 333 363 370 407 411 495 555 605 666 685 726 814 822 990 1089 1110 1210 1221 1233 1370 1507 1665 1815 2035 2055 2178 2442 2466 3014 3330 3630 3663 4070 4110 4477 4521 5069 5445 6105 6165 7326 7535 8954 9042 10138 10890 12210 12330 13431 13563 15070 15207 16577 18315 22385 22605 25345 26862 27126 30414 33154 36630 40293 44770 45210 45621 49731 50690 55759 67155 67815 76035 80586 82885 91242 99462 111518 134310 135630 149193 152070 165770 167277 201465 228105 248655 278795 298386 334554 402930 456210 497310 501831 557590 613349 745965 836385 1003662 1226698 1491930 1672770 1840047 2509155 3066745 3680094 5018310 5520141 6133490 9200235 11040282 18400470 27600705 55201410