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545742990 = 2325131572971
BaseRepresentation
bin100000100001110…
…110000010001110
31102000220121122100
4200201312002032
52104202233430
6130053055530
716344511302
oct4041660216
91360817570
10545742990
1126006a871
121329275a6
13890ac960
14526a1d02
1532da1960
hex2087608e

545742990 has 96 divisors (see below), whose sum is σ = 1538330976. Its totient is φ = 133436160.

The previous prime is 545742949. The next prime is 545743001. The reversal of 545742990 is 99247545.

545742990 is a `hidden beast` number, since 54 + 574 + 29 + 9 + 0 = 666.

It is a super-2 number, since 2×5457429902 = 595670822268280200, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182205 + ... + 185175.

It is an arithmetic number, because the mean of its divisors is an integer number (16024281).

Almost surely, 2545742990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545742990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769165488).

545742990 is an abundant number, since it is smaller than the sum of its proper divisors (992587986).

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

545742990 is a wasteful number, since it uses less digits than its factorization.

545742990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3151 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 545742990 is about 23361.1427374604. The cubic root of 545742990 is about 817.2019394283.

The spelling of 545742990 in words is "five hundred forty-five million, seven hundred forty-two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 157 195 234 314 390 471 585 785 942 1170 1413 1570 2041 2355 2826 2971 4082 4710 5942 6123 7065 8913 10205 12246 14130 14855 17826 18369 20410 26739 29710 30615 36738 38623 44565 53478 61230 77246 89130 91845 115869 133695 183690 193115 231738 267390 347607 386230 466447 579345 695214 932894 1158690 1399341 1738035 2332235 2798682 3476070 4198023 4664470 6063811 6996705 8396046 12127622 13993410 18191433 20990115 30319055 36382866 41980230 54574299 60638110 90957165 109148598 181914330 272871495 545742990