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472748016 = 243133124439
BaseRepresentation
bin11100001011011…
…000111111110000
31012221120002100210
4130023120333300
51432010414031
6114524344120
714500202046
oct3413307760
91187502323
10472748016
11222943644
121123a5040
1376c32b70
1446b00396
152b783746
hex1c2d8ff0

472748016 has 80 divisors (see below), whose sum is σ = 1357690880. Its totient is φ = 140762880.

The previous prime is 472748009. The next prime is 472748021. The reversal of 472748016 is 610847274.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7125 + ... + 31563.

It is an arithmetic number, because the mean of its divisors is an integer number (16971136).

Almost surely, 2472748016 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 472748016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678845440).

472748016 is an abundant number, since it is smaller than the sum of its proper divisors (884942864).

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

472748016 is a wasteful number, since it uses less digits than its factorization.

472748016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24494 (or 24488 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 472748016 is about 21742.7692808437. The cubic root of 472748016 is about 779.0103688603.

The spelling of 472748016 in words is "four hundred seventy-two million, seven hundred forty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4836 6448 9672 19344 24439 48878 73317 97756 146634 195512 293268 317707 391024 586536 635414 757609 953121 1173072 1270828 1515218 1906242 2272827 2541656 3030436 3812484 4545654 5083312 6060872 7624968 9091308 9848917 12121744 15249936 18182616 19697834 29546751 36365232 39395668 59093502 78791336 118187004 157582672 236374008 472748016