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874465536 = 2837297179
BaseRepresentation
bin110100000111110…
…100100100000000
32020221110110012110
4310013310210000
53242330344121
6222434455320
730445556130
oct6407644400
92227413173
10874465536
1140968199a
12204a34540
1310c226139
14841d0ac0
1551b85d76
hex341f4900

874465536 has 288 divisors, whose sum is σ = 2825625600. Its totient is φ = 234823680.

The previous prime is 874465531. The next prime is 874465547. The reversal of 874465536 is 635564478.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (874465531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11069145 + ... + 11069223.

It is an arithmetic number, because the mean of its divisors is an integer number (9811200).

Almost surely, 2874465536 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 874465536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412812800).

874465536 is an abundant number, since it is smaller than the sum of its proper divisors (1951160064).

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

874465536 is a wasteful number, since it uses less digits than its factorization.

874465536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 48.

The square root of 874465536 is about 29571.3634450629. The cubic root of 874465536 is about 956.2708102268.

The spelling of 874465536 in words is "eight hundred seventy-four million, four hundred sixty-five thousand, five hundred thirty-six".