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545038632 = 23341749477
BaseRepresentation
bin100000011111001…
…010000100101000
31101222120211110000
4200133022010220
52104012214012
6130030023000
716335515625
oct4037120450
91358524400
10545038632
1125a729656
12132647a60
1388bc4188
145255b34c
1532cb2ddc
hex207ca128

545038632 has 80 divisors (see below), whose sum is σ = 1616446260. Its totient is φ = 170989056.

The previous prime is 545038607. The next prime is 545038639. The reversal of 545038632 is 236830545.

It is a happy number.

545038632 is a `hidden beast` number, since 545 + 0 + 3 + 86 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 545035716 + 2916 = 23346^2 + 54^2 .

It is a super-2 number, since 2×5450386322 = 594134220744862848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (545038639) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 13723 + ... + 35754.

Almost surely, 2545038632 is an apocalyptic number.

It is an amenable number.

545038632 is an abundant number, since it is smaller than the sum of its proper divisors (1071407628).

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

545038632 is a wasteful number, since it uses less digits than its factorization.

545038632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49512 (or 49499 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 545038632 is about 23346.0624517283. The cubic root of 545038632 is about 816.8502167652.

It can be divided in two parts, 54 and 5038632, that multiplied together give a triangular number (272086128 = T23327).

The spelling of 545038632 in words is "five hundred forty-five million, thirty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5508 11016 49477 98954 148431 197908 296862 395816 445293 593724 841109 890586 1187448 1335879 1682218 1781172 2523327 2671758 3364436 3562344 4007637 5046654 5343516 6728872 7569981 8015274 10093308 10687032 15139962 16030548 20186616 22709943 30279924 32061096 45419886 60559848 68129829 90839772 136259658 181679544 272519316 545038632