Search a number
-
+
748381536 = 253273779127
BaseRepresentation
bin101100100110110…
…110010101100000
31221011012201110200
4230212312111200
53013041202121
6202132225200
724355065240
oct5446662540
91834181420
10748381536
11354495141
1218a76b200
13bc07bc16
147156db20
1545a7ca26
hex2c9b6560

748381536 has 288 divisors, whose sum is σ = 2549514240. Its totient is φ = 203793408.

The previous prime is 748381471. The next prime is 748381553. The reversal of 748381536 is 635183847.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 748381491 and 748381500.

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, 5892705 + ... + 5892831.

It is an arithmetic number, because the mean of its divisors is an integer number (8852480).

Almost surely, 2748381536 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 748381536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274757120).

748381536 is an abundant number, since it is smaller than the sum of its proper divisors (1801132704).

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

748381536 is a wasteful number, since it uses less digits than its factorization.

748381536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 255 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 748381536 is about 27356.5629420072. The cubic root of 748381536 is about 907.9062825771.

The spelling of 748381536 in words is "seven hundred forty-eight million, three hundred eighty-one thousand, five hundred thirty-six".