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42275520 = 263457233
BaseRepresentation
bin1010000101000…
…1001011000000
32221112211010000
42201101023000
541310304040
64110040000
71022223150
oct241211300
987484100
1042275520
1121955251
12121a9000
1389b2501
145886760
153aa1130
hex28512c0

42275520 has 280 divisors, whose sum is σ = 172602144. Its totient is φ = 9621504.

The previous prime is 42275489. The next prime is 42275521. The reversal of 42275520 is 2557224.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is not an unprimeable number, because it can be changed into a prime (42275521) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 181324 + ... + 181556.

Almost surely, 242275520 is an apocalyptic number.

42275520 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 42275520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86301072).

42275520 is an abundant number, since it is smaller than the sum of its proper divisors (130326624).

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

42275520 is a wasteful number, since it uses less digits than its factorization.

42275520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 42275520 is about 6501.9627805763. The cubic root of 42275520 is about 348.3610996133.

The spelling of 42275520 in words is "forty-two million, two hundred seventy-five thousand, five hundred twenty".