Search a number
-
+
36120448 = 277213443
BaseRepresentation
bin1000100111001…
…0011110000000
32111222002221101
42021302132000
533221323243
63330104144
7616006300
oct211623600
974862841
1036120448
1119430911
121011b054
137638a60
144b23600
15328754d
hex2272780

36120448 has 96 divisors (see below), whose sum is σ = 90349560. Its totient is φ = 14257152.

The previous prime is 36120443. The next prime is 36120503. The reversal of 36120448 is 84402163.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36120443) 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, 81315 + ... + 81757.

Almost surely, 236120448 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 36120448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45174780).

36120448 is an abundant number, since it is smaller than the sum of its proper divisors (54229112).

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

36120448 is a wasteful number, since it uses less digits than its factorization.

36120448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 36120448 is about 6010.0289516774. The cubic root of 36120448 is about 330.5605654501.

The spelling of 36120448 in words is "thirty-six million, one hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 364 392 416 443 448 637 728 784 832 886 896 1274 1456 1568 1664 1772 2548 2912 3101 3136 3544 5096 5759 5824 6202 6272 7088 10192 11518 11648 12404 14176 20384 21707 23036 24808 28352 40313 40768 43414 46072 49616 56704 80626 81536 86828 92144 99232 161252 173656 184288 198464 282191 322504 347312 368576 396928 564382 645008 694624 737152 1128764 1290016 1389248 2257528 2580032 2778496 4515056 5160064 9030112 18060224 36120448