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4574962680 = 2335377913043
BaseRepresentation
bin1000100001011000…
…00110001111111000
3102210211121011222020
410100230012033320
533332142301210
62033545154440
7221241353421
oct42054061770
912724534866
104574962680
111a384a11a2
12a7818ba20
1357ba92112
14315860648
151bb999770
hex110b063f8

4574962680 has 128 divisors (see below), whose sum is σ = 14275353600. Its totient is φ = 1171901952.

The previous prime is 4574962661. The next prime is 4574962681. The reversal of 4574962680 is 862694754.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4574962681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344239 + ... + 357281.

It is an arithmetic number, because the mean of its divisors is an integer number (111526200).

Almost surely, 24574962680 is an apocalyptic number.

4574962680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4574962680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7137676800).

4574962680 is an abundant number, since it is smaller than the sum of its proper divisors (9700390920).

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

4574962680 is a wasteful number, since it uses less digits than its factorization.

4574962680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13173 (or 13169 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The square root of 4574962680 is about 67638.4704144025. The cubic root of 4574962680 is about 1660.0806415559.

The spelling of 4574962680 in words is "four billion, five hundred seventy-four million, nine hundred sixty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 79 111 120 148 158 185 222 237 296 316 370 395 444 474 555 632 740 790 888 948 1110 1185 1480 1580 1896 2220 2370 2923 3160 4440 4740 5846 8769 9480 11692 13043 14615 17538 23384 26086 29230 35076 39129 43845 52172 58460 65215 70152 78258 87690 104344 116920 130430 156516 175380 195645 260860 313032 350760 391290 482591 521720 782580 965182 1030397 1447773 1565160 1930364 2060794 2412955 2895546 3091191 3860728 4121588 4825910 5151985 5791092 6182382 7238865 8243176 9651820 10303970 11582184 12364764 14477730 15455955 19303640 20607940 24729528 28955460 30911910 38124689 41215880 57910920 61823820 76249378 114374067 123647640 152498756 190623445 228748134 304997512 381246890 457496268 571870335 762493780 914992536 1143740670 1524987560 2287481340 4574962680