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64228032 = 26331131109
BaseRepresentation
bin1111010100000…
…0101011000000
311110212010022000
43311000223000
5112420244112
610212344000
71406633511
oct365005300
9143763260
1064228032
1133289520
1219615000
13103ca56b
14875ca08
15598a7dc
hex3d40ac0

64228032 has 224 divisors, whose sum is σ = 214579200. Its totient is φ = 18662400.

The previous prime is 64228013. The next prime is 64228079. The reversal of 64228032 is 23082246.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 64227987 and 64228005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 589194 + ... + 589302.

Almost surely, 264228032 is an apocalyptic number.

64228032 is a gapful number since it is divisible by the number (62) 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 64228032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107289600).

64228032 is an abundant number, since it is smaller than the sum of its proper divisors (150351168).

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

64228032 is a wasteful number, since it uses less digits than its factorization.

64228032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 64228032 is about 8014.2393275968. The cubic root of 64228032 is about 400.4745035600.

The spelling of 64228032 in words is "sixty-four million, two hundred twenty-eight thousand, thirty-two".