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890206152 = 233113371993
BaseRepresentation
bin110101000011110…
…111011111001000
32022001002011021020
4311003313133020
53310343044102
6224200112440
731026425133
oct6503673710
92261064236
10890206152
11417553070
1220a165720
13112577904
148632b21a
1553244bbc
hex350f77c8

890206152 has 32 divisors (see below), whose sum is σ = 2427835680. Its totient is φ = 269759360.

The previous prime is 890206103. The next prime is 890206157. The reversal of 890206152 is 251602098.

It is a super-3 number, since 3×8902061523 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (890206157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1685733 + ... + 1686260.

It is an arithmetic number, because the mean of its divisors is an integer number (75869865).

Almost surely, 2890206152 is an apocalyptic number.

It is an amenable number.

890206152 is an abundant number, since it is smaller than the sum of its proper divisors (1537629528).

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

890206152 is a wasteful number, since it uses less digits than its factorization.

890206152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372013 (or 3372009 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 890206152 is about 29836.3226956674. The cubic root of 890206152 is about 961.9744346547.

The spelling of 890206152 in words is "eight hundred ninety million, two hundred six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 3371993 6743986 10115979 13487972 20231958 26975944 37091923 40463916 74183846 80927832 111275769 148367692 222551538 296735384 445103076 890206152