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4485840576 = 26378340213
BaseRepresentation
bin1000010110110000…
…00111111011000000
3102120121220022102120
410023120013323000
533141333344301
62021043044240
7216110005260
oct41330077300
912517808376
104485840576
1119a215a468
12a52370680
13566489949
14307aa17a0
151b3c42e36
hex10b607ec0

4485840576 has 112 divisors (see below), whose sum is σ = 13728094464. Its totient is φ = 1266195456.

The previous prime is 4485840551. The next prime is 4485840577. The reversal of 4485840576 is 6750485844.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (4485840577) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91446 + ... + 131658.

It is an arithmetic number, because the mean of its divisors is an integer number (122572272).

Almost surely, 24485840576 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 4485840576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6864047232).

4485840576 is an abundant number, since it is smaller than the sum of its proper divisors (9242253888).

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

4485840576 is a wasteful number, since it uses less digits than its factorization.

4485840576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40318 (or 40308 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 51.

The square root of 4485840576 is about 66976.4180588959. The cubic root of 4485840576 is about 1649.2301981159.

The spelling of 4485840576 in words is "four billion, four hundred eighty-five million, eight hundred forty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 83 84 96 112 166 168 192 224 249 332 336 448 498 581 664 672 996 1162 1328 1344 1743 1992 2324 2656 3486 3984 4648 5312 6972 7968 9296 13944 15936 18592 27888 37184 40213 55776 80426 111552 120639 160852 241278 281491 321704 482556 562982 643408 844473 965112 1125964 1286816 1688946 1930224 2251928 2573632 3337679 3377892 3860448 4503856 6675358 6755784 7720896 9007712 10013037 13350716 13511568 18015424 20026074 23363753 26701432 27023136 40052148 46727506 53402864 54046272 70091259 80104296 93455012 106805728 140182518 160208592 186910024 213611456 280365036 320417184 373820048 560730072 640834368 747640096 1121460144 1495280192 2242920288 4485840576