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396999252 = 223313221751
BaseRepresentation
bin10111101010011…
…011101001010100
31000200000122121000
4113222123221110
51303112434002
6103221023300
712560303136
oct2752335124
91020018530
10396999252
11194106461
12b0b54b30
1364330800
143aa23056
1524cbe61c
hex17a9ba54

396999252 has 72 divisors (see below), whose sum is σ = 1114572480. Its totient is φ = 122148000.

The previous prime is 396999227. The next prime is 396999257. The reversal of 396999252 is 252999693.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396999257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7377 + ... + 29127.

Almost surely, 2396999252 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 396999252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557286240).

396999252 is an abundant number, since it is smaller than the sum of its proper divisors (717573228).

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

396999252 is a wasteful number, since it uses less digits than its factorization.

396999252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21790 (or 21769 counting only the distinct ones).

The product of its digits is 2361960, while the sum is 54.

The square root of 396999252 is about 19924.8400746405. The cubic root of 396999252 is about 734.9591980682.

The spelling of 396999252 in words is "three hundred ninety-six million, nine hundred ninety-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 1014 1404 1521 2028 3042 4563 6084 9126 18252 21751 43502 65253 87004 130506 195759 261012 282763 391518 565526 587277 783036 848289 1131052 1174554 1696578 2349108 2544867 3393156 3675919 5089734 7351838 7634601 10179468 11027757 14703676 15269202 22055514 30538404 33083271 44111028 66166542 99249813 132333084 198499626 396999252