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398442252 = 223132923037
BaseRepresentation
bin10111101111111…
…011111100001100
31000202201222000110
4113233323330030
51304000123002
6103312000020
712605463135
oct2757737414
91022658013
10398442252
11194a0161a
12b1530010
1364717560
143acbac8c
1524ea6e6c
hex17bfbf0c

398442252 has 72 divisors (see below), whose sum is σ = 1037270416. Its totient is φ = 118331136.

The previous prime is 398442251. The next prime is 398442269. The reversal of 398442252 is 252244893.

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

It is a self number, because there is not a number n which added to its sum of digits gives 398442252.

It is not an unprimeable number, because it can be changed into a prime (398442251) 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, 129678 + ... + 132714.

Almost surely, 2398442252 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 398442252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518635208).

398442252 is an abundant number, since it is smaller than the sum of its proper divisors (638828164).

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

398442252 is a wasteful number, since it uses less digits than its factorization.

398442252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3115 (or 3084 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 398442252 is about 19961.0183106975. The cubic root of 398442252 is about 735.8485899749.

The spelling of 398442252 in words is "three hundred ninety-eight million, four hundred forty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 841 1131 1508 1682 2262 2523 3037 3364 4524 5046 6074 9111 10092 10933 12148 18222 21866 32799 36444 39481 43732 65598 78962 88073 118443 131196 157924 176146 236886 264219 352292 473772 528438 1056876 1144949 2289898 2554117 3434847 4579796 5108234 6869694 7662351 10216468 13739388 15324702 30649404 33203521 66407042 99610563 132814084 199221126 398442252