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55253536 = 2513217601
BaseRepresentation
bin1101001011000…
…1101000100000
310211222011121021
43102301220200
5103121103121
65252135224
71240435012
oct322615040
9124864537
1055253536
1129209888
1216607514
13b5a7700
1474a41b2
154cb6641
hex34b1a20

55253536 has 72 divisors (see below), whose sum is σ = 124928244. Its totient is φ = 23961600.

The previous prime is 55253531. The next prime is 55253537. The reversal of 55253536 is 63535255.

It can be written as a sum of positive squares in 6 ways, for example, as 24561936 + 30691600 = 4956^2 + 5540^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (55253531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91636 + ... + 92236.

Almost surely, 255253536 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 55253536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62464122).

55253536 is an abundant number, since it is smaller than the sum of its proper divisors (69674708).

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

55253536 is a wasteful number, since it uses less digits than its factorization.

55253536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 633 counting only the distinct ones).

The product of its digits is 67500, while the sum is 34.

The square root of 55253536 is about 7433.2722269536. The cubic root of 55253536 is about 380.8787052204.

It can be divided in two parts, 5525 and 3536, that multiplied together give a square (19536400 = 44202).

The spelling of 55253536 in words is "fifty-five million, two hundred fifty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 169 208 221 272 338 416 442 544 601 676 884 1202 1352 1768 2404 2704 2873 3536 4808 5408 5746 7072 7813 9616 10217 11492 15626 19232 20434 22984 31252 40868 45968 62504 81736 91936 101569 125008 132821 163472 203138 250016 265642 326944 406276 531284 812552 1062568 1625104 1726673 2125136 3250208 3453346 4250272 6906692 13813384 27626768 55253536