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465129990 = 232513397547
BaseRepresentation
bin11011101110010…
…101001000000110
31012102020001101200
4123232111020012
51423033124430
6114053203330
714345353053
oct3356251006
91172201350
10465129990
11219610056
1210b930546
1375496560
1445aba02a
152ac7b460
hex1bb95206

465129990 has 48 divisors (see below), whose sum is σ = 1302367248. Its totient is φ = 114493248.

The previous prime is 465129971. The next prime is 465129991. The reversal of 465129990 is 99921564.

465129990 is a `hidden beast` number, since 46 + 512 + 9 + 9 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465129991) 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, 197604 + ... + 199943.

It is an arithmetic number, because the mean of its divisors is an integer number (27132651).

Almost surely, 2465129990 is an apocalyptic number.

465129990 is an abundant number, since it is smaller than the sum of its proper divisors (837237258).

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

465129990 is a wasteful number, since it uses less digits than its factorization.

465129990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397573 (or 397570 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 465129990 is about 21566.8725131856. The cubic root of 465129990 is about 774.8032743824.

The spelling of 465129990 in words is "four hundred sixty-five million, one hundred twenty-nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 397547 795094 1192641 1987735 2385282 3577923 3975470 5168111 5963205 7155846 10336222 11926410 15504333 17889615 25840555 31008666 35779230 46512999 51681110 77521665 93025998 155043330 232564995 465129990