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4453811840 = 27522930389
BaseRepresentation
bin1000010010111011…
…11100011010000000
3102111101122002021002
410021131330122000
533110133434330
62013540351132
7215240530112
oct41135743200
912441562232
104453811840
111986073835
12a436a54a8
1355c95442a
143037253b2
151b1017e45
hex10977c680

4453811840 has 64 divisors (see below), whose sum is σ = 10694241000. Its totient is φ = 1773686784.

The previous prime is 4453811777. The next prime is 4453811867. The reversal of 4453811840 is 481183544.

It can be written as a sum of positive squares in 4 ways, for example, as 4407897664 + 45914176 = 66392^2 + 6776^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×44538118402 = 39672879812248371200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4453811794 and 4453811803.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131366 + ... + 161754.

Almost surely, 24453811840 is an apocalyptic number.

4453811840 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 4453811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5347120500).

4453811840 is an abundant number, since it is smaller than the sum of its proper divisors (6240429160).

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

4453811840 is a wasteful number, since it uses less digits than its factorization.

4453811840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30637 (or 30625 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 4453811840 is about 66736.8851535641. The cubic root of 4453811840 is about 1645.2956715167.

The spelling of 4453811840 in words is "four billion, four hundred fifty-three million, eight hundred eleven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 229 320 458 640 916 1145 1832 2290 3664 4580 7328 9160 14656 18320 29312 30389 36640 60778 73280 121556 146560 151945 243112 303890 486224 607780 972448 1215560 1944896 2431120 3889792 4862240 6959081 9724480 13918162 19448960 27836324 34795405 55672648 69590810 111345296 139181620 222690592 278363240 445381184 556726480 890762368 1113452960 2226905920 4453811840