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55261530 = 23252931683
BaseRepresentation
bin1101001011001…
…1100101011010
310211222120120100
43102303211122
5103121332110
65252240230
71240500222
oct322634532
9124876510
1055261530
1129214895
1216610076
13b5ab23c
1474a7082
154cb8bc0
hex34b395a

55261530 has 96 divisors (see below), whose sum is σ = 153653760. Its totient is φ = 13749120.

The previous prime is 55261529. The next prime is 55261607. The reversal of 55261530 is 3516255.

55261530 is a `hidden beast` number, since 552 + 61 + 53 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 55261494 and 55261503.

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, 80569 + ... + 81251.

It is an arithmetic number, because the mean of its divisors is an integer number (1600560).

Almost surely, 255261530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55261530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76826880).

55261530 is an abundant number, since it is smaller than the sum of its proper divisors (98392230).

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

55261530 is a wasteful number, since it uses less digits than its factorization.

55261530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 55261530 is about 7433.8099249308. The cubic root of 55261530 is about 380.8970726575.

Adding to 55261530 its reverse (3516255), we get a palindrome (58777785).

It can be divided in two parts, 5526 and 1530, that added together give a square (7056 = 842).

The spelling of 55261530 in words is "fifty-five million, two hundred sixty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 31 45 58 62 87 90 93 145 155 174 186 261 279 290 310 435 465 522 558 683 870 899 930 1305 1366 1395 1798 2049 2610 2697 2790 3415 4098 4495 5394 6147 6830 8091 8990 10245 12294 13485 16182 19807 20490 21173 26970 30735 39614 40455 42346 59421 61470 63519 80910 99035 105865 118842 127038 178263 190557 198070 211730 297105 317595 356526 381114 594210 614017 635190 891315 952785 1228034 1782630 1842051 1905570 3070085 3684102 5526153 6140170 9210255 11052306 18420510 27630765 55261530