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197831952 = 24321972307
BaseRepresentation
bin10111100101010…
…10110100010000
3111210020220102100
423302222310100
5401121110302
631344120400
74621354353
oct1362526420
9453226370
10197831952
11a174208a
1256306100
1331ca8536
141c3ba29a
151257bd1c
hexbcaad10

197831952 has 60 divisors (see below), whose sum is σ = 582802480. Its totient is φ = 62472384.

The previous prime is 197831903. The next prime is 197831981. The reversal of 197831952 is 259138791.

It is a junction number, because it is equal to n+sod(n) for n = 197831898 and 197831907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33418 + ... + 38889.

Almost surely, 2197831952 is an apocalyptic number.

197831952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

197831952 is an abundant number, since it is smaller than the sum of its proper divisors (384970528).

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

197831952 is a wasteful number, since it uses less digits than its factorization.

197831952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72340 (or 72331 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 197831952 is about 14065.2746862619. The cubic root of 197831952 is about 582.6827287495.

It can be divided in two parts, 1978 and 31952, that added together give a triangular number (33930 = T260).

The spelling of 197831952 in words is "one hundred ninety-seven million, eight hundred thirty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 72307 144614 216921 289228 433842 578456 650763 867684 1156912 1301526 1373833 1735368 2603052 2747666 3470736 4121499 5206104 5495332 8242998 10412208 10990664 12364497 16485996 21981328 24728994 32971992 49457988 65943984 98915976 197831952