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4960054080 = 263251722241
BaseRepresentation
bin1001001111010010…
…00110101101000000
3110210200012212001200
410213221012231000
540124233212310
62140103101200
7233625523032
oct44751065500
913720185050
104960054080
112115904053
12b65141800
136107b3857
14350a63c52
151e06b59c0
hex127a46b40

4960054080 has 84 divisors (see below), whose sum is σ = 17060529252. Its totient is φ = 1322680320.

The previous prime is 4960054031. The next prime is 4960054081. The reversal of 4960054080 is 804500694.

4960054080 is a `hidden beast` number, since 4 + 9 + 600 + 5 + 40 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2154445056 + 2805609024 = 46416^2 + 52968^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4960054081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 858241 + ... + 864000.

Almost surely, 24960054080 is an apocalyptic number.

4960054080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4960054080 is an abundant number, since it is smaller than the sum of its proper divisors (12100475172).

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

4960054080 is a wasteful number, since it uses less digits than its factorization.

4960054080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722264 (or 1722251 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4960054080 is about 70427.6513877894. The cubic root of 4960054080 is about 1705.4099947680.

The spelling of 4960054080 in words is "four billion, nine hundred sixty million, fifty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 1722241 3444482 5166723 6888964 8611205 10333446 13777928 15500169 17222410 20666892 25833615 27555856 31000338 34444820 41333784 51667230 55111712 62000676 68889640 77500845 82667568 103334460 110223424 124001352 137779280 155001690 165335136 206668920 248002704 275558560 310003380 330670272 413337840 496005408 551117120 620006760 826675680 992010816 1240013520 1653351360 2480027040 4960054080