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42841504 = 2519312273
BaseRepresentation
bin1010001101101…
…1010110100000
32222121120111101
42203123112200
541431412004
64130124144
71030101226
oct243332640
988546441
1042841504
1122201502
1212420654
138b50004
145992b16
153b63ba4
hex28db5a0

42841504 has 48 divisors (see below), whose sum is σ = 91687680. Its totient is φ = 19630080.

The previous prime is 42841501. The next prime is 42841517. The reversal of 42841504 is 40514824.

It is not an unprimeable number, because it can be changed into a prime (42841501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17712 + ... + 19984.

It is an arithmetic number, because the mean of its divisors is an integer number (1910160).

Almost surely, 242841504 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 42841504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45843840).

42841504 is an abundant number, since it is smaller than the sum of its proper divisors (48846176).

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

42841504 is a wasteful number, since it uses less digits than its factorization.

42841504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 42841504 is about 6545.3421606513. The cubic root of 42841504 is about 349.9088306757.

The spelling of 42841504 in words is "forty-two million, eight hundred forty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 124 152 248 304 496 589 608 992 1178 2273 2356 4546 4712 9092 9424 18184 18848 36368 43187 70463 72736 86374 140926 172748 281852 345496 563704 690992 1127408 1338797 1381984 2254816 2677594 5355188 10710376 21420752 42841504