Search a number
-
+
7630752 = 253101787
BaseRepresentation
bin11101000110111110100000
3112100200102110
4131012332200
53423141002
6431315320
7121601043
oct35067640
915320373
107630752
114342108
12267bb40
13177234c
141028c5a
15a0ae6c
hex746fa0

7630752 has 48 divisors (see below), whose sum is σ = 20254752. Its totient is φ = 2515200.

The previous prime is 7630751. The next prime is 7630757. The reversal of 7630752 is 2570367.

7630752 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (7630751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9303 + ... + 10089.

It is an arithmetic number, because the mean of its divisors is an integer number (421974).

Almost surely, 27630752 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 7630752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10127376).

7630752 is an abundant number, since it is smaller than the sum of its proper divisors (12624000).

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

7630752 is a wasteful number, since it uses less digits than its factorization.

7630752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 7630752 is about 2762.3815811723. The cubic root of 7630752 is about 196.8743390252.

The spelling of 7630752 in words is "seven million, six hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 787 808 1212 1574 1616 2361 2424 3148 3232 4722 4848 6296 9444 9696 12592 18888 25184 37776 75552 79487 158974 238461 317948 476922 635896 953844 1271792 1907688 2543584 3815376 7630752