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368285952 = 283312499
BaseRepresentation
bin10101111100111…
…001100100000000
3221122222212100110
4111330321210000
51223240122302
6100313351320
712061243656
oct2574714400
9848885313
10368285952
11179984761
12a3408540
135b3b93a8
1436caadd6
15224ebb6c
hex15f39900

368285952 has 108 divisors (see below), whose sum is σ = 1014846000. Its totient is φ = 118563840.

The previous prime is 368285899. The next prime is 368285971. The reversal of 368285952 is 259582863.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 737799 + ... + 738297.

Almost surely, 2368285952 is an apocalyptic number.

368285952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368285952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507423000).

368285952 is an abundant number, since it is smaller than the sum of its proper divisors (646560048).

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

368285952 is an equidigital number, since it uses as much as digits as its factorization.

368285952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 535 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 368285952 is about 19190.7777851759. Note that the first 4 decimals coincide. The cubic root of 368285952 is about 716.7951384130.

The spelling of 368285952 in words is "three hundred sixty-eight million, two hundred eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 499 744 768 961 992 998 1488 1497 1922 1984 1996 2883 2976 2994 3844 3968 3992 5766 5952 5988 7688 7936 7984 11532 11904 11976 15376 15469 15968 23064 23808 23952 30752 30938 31936 46128 46407 47904 61504 61876 63872 92256 92814 95808 123008 123752 127744 184512 185628 191616 246016 247504 369024 371256 383232 479539 495008 738048 742512 959078 990016 1438617 1485024 1918156 1980032 2877234 2970048 3836312 3960064 5754468 5940096 7672624 11508936 11880192 15345248 23017872 30690496 46035744 61380992 92071488 122761984 184142976 368285952