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4325400576 = 21332717229
BaseRepresentation
bin1000000011101000…
…00110000000000000
3102011110000010010100
410001310012000000
532324300304301
61553112202400
7212121204210
oct40164060000
912143003110
104325400576
11191a637522
12a08699400
1353c173b33
142d065a240
151a4b00286
hex101d06000

4325400576 has 504 divisors, whose sum is σ = 15692292720. Its totient is φ = 1123024896.

The previous prime is 4325400557. The next prime is 4325400577. The reversal of 4325400576 is 6750045234.

4325400576 is a `hidden beast` number, since 4 + 32 + 54 + 0 + 0 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×43254005762 = 37418180285722263552, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4325400576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4325400577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 149151730 + ... + 149151758.

Almost surely, 24325400576 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 4325400576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7846146360).

4325400576 is an abundant number, since it is smaller than the sum of its proper divisors (11366892144).

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

4325400576 is a wasteful number, since it uses less digits than its factorization.

4325400576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 4325400576 is about 65767.7776422467. Note that the first 3 decimals coincide. The cubic root of 4325400576 is about 1629.3289641297.

The spelling of 4325400576 in words is "four billion, three hundred twenty-five million, four hundred thousand, five hundred seventy-six".