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398537046 = 232196131901
BaseRepresentation
bin10111110000010…
…011000101010110
31000202220210001100
4113300103011112
51304011141141
6103314010530
712606336405
oct2760230526
91022823040
10398537046
11194a66866
12b1576a46
136474b74b
143ad0363c
1524ec50b6
hex17c13156

398537046 has 48 divisors (see below), whose sum is σ = 910905840. Its totient is φ = 125582400.

The previous prime is 398536997. The next prime is 398537057. The reversal of 398537046 is 640735893.

It is a super-2 number, since 2×3985370462 = 317663554068812232, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 398536992 and 398537010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208696 + ... + 210596.

It is an arithmetic number, because the mean of its divisors is an integer number (18977205).

Almost surely, 2398537046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398537046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455452920).

398537046 is an abundant number, since it is smaller than the sum of its proper divisors (512368794).

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

398537046 is a wasteful number, since it uses less digits than its factorization.

398537046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 398537046 is about 19963.3926475437. The cubic root of 398537046 is about 735.9069409654.

The spelling of 398537046 in words is "three hundred ninety-eight million, five hundred thirty-seven thousand, forty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 613 1226 1839 1901 3678 3802 5517 5703 11034 11406 11647 17109 23294 34218 34941 36119 69882 72238 104823 108357 209646 216714 325071 650142 1165313 2330626 3495939 6991878 10487817 20975634 22140947 44281894 66422841 132845682 199268523 398537046