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1427217528 = 23311192389139
BaseRepresentation
bin101010100010001…
…1001110001111000
310200110120011101110
41111010121301320
510410331430103
6353342120320
750240102022
oct12504316170
93613504343
101427217528
11672699720
12339b800a0
131998bb119
14d7799012
158546e403
hex55119c78

1427217528 has 256 divisors, whose sum is σ = 4354560000. Its totient is φ = 384721920.

The previous prime is 1427217527. The next prime is 1427217529. The reversal of 1427217528 is 8257127241.

It is an interprime number because it is at equal distance from previous prime (1427217527) and next prime (1427217529).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427217521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10267683 + ... + 10267821.

It is an arithmetic number, because the mean of its divisors is an integer number (17010000).

Almost surely, 21427217528 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 1427217528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177280000).

1427217528 is an abundant number, since it is smaller than the sum of its proper divisors (2927342472).

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

1427217528 is a wasteful number, since it uses less digits than its factorization.

1427217528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 286 counting only the distinct ones).

The product of its digits is 62720, while the sum is 39.

The square root of 1427217528 is about 37778.5326342885. The cubic root of 1427217528 is about 1125.8919748677.

The spelling of 1427217528 in words is "one billion, four hundred twenty-seven million, two hundred seventeen thousand, five hundred twenty-eight".