Search a number
-
+
397199952 = 243215717569
BaseRepresentation
bin10111101011001…
…100101001010000
31000200101211220100
4113223030221100
51303140344302
6103225212400
712562100232
oct2753145120
91020354810
10397199952
11194233226
12b1031100
13643a0c76
143aa76252
1524d0dd1c
hex17acca50

397199952 has 60 divisors (see below), whose sum is σ = 1118752180. Its totient is φ = 131549184.

The previous prime is 397199947. The next prime is 397199953. The reversal of 397199952 is 259991793.

It can be written as a sum of positive squares in 2 ways, for example, as 48108096 + 349091856 = 6936^2 + 18684^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397199953) 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, 13824 + ... + 31392.

Almost surely, 2397199952 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 397199952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559376090).

397199952 is an abundant number, since it is smaller than the sum of its proper divisors (721552228).

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

397199952 is a wasteful number, since it uses less digits than its factorization.

397199952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17740 (or 17731 counting only the distinct ones).

The product of its digits is 1377810, while the sum is 54.

The square root of 397199952 is about 19929.8758651428. The cubic root of 397199952 is about 735.0830282437.

The spelling of 397199952 in words is "three hundred ninety-seven million, one hundred ninety-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 314 471 628 942 1256 1413 1884 2512 2826 3768 5652 7536 11304 17569 22608 35138 52707 70276 105414 140552 158121 210828 281104 316242 421656 632484 843312 1264968 2529936 2758333 5516666 8274999 11033332 16549998 22066664 24824997 33099996 44133328 49649994 66199992 99299988 132399984 198599976 397199952