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545545960 = 23553277929
BaseRepresentation
bin100000100001000…
…101111011101000
31102000112121100221
4200201011323220
52104124432320
6130044535424
716343031001
oct4041057350
91360477327
10545545960
1125aa45833
12132851574
138904107b
14526501a8
1532d633aa
hex20845ee8

545545960 has 64 divisors (see below), whose sum is σ = 1256504400. Its totient is φ = 213098496.

The previous prime is 545545951. The next prime is 545545991. The reversal of 545545960 is 69545545.

It can be written as a sum of positive squares in 8 ways, for example, as 56340036 + 489205924 = 7506^2 + 22118^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586776 + ... + 587704.

Almost surely, 2545545960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545545960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628252200).

545545960 is an abundant number, since it is smaller than the sum of its proper divisors (710958440).

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

545545960 is a wasteful number, since it uses less digits than its factorization.

545545960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 43.

The square root of 545545960 is about 23356.9253113504. The cubic root of 545545960 is about 817.1035825815.

It can be divided in two parts, 5455 and 45960, that added together give a palindrome (51415).

The spelling of 545545960 in words is "five hundred forty-five million, five hundred forty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 277 424 530 554 929 1060 1108 1385 1858 2120 2216 2770 3716 4645 5540 7432 9290 11080 14681 18580 29362 37160 49237 58724 73405 98474 117448 146810 196948 246185 257333 293620 393896 492370 514666 587240 984740 1029332 1286665 1969480 2058664 2573330 5146660 10293320 13638649 27277298 54554596 68193245 109109192 136386490 272772980 545545960