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42287460 = 2235897919
BaseRepresentation
bin1010000101010…
…0000101100100
32221120102111020
42201110011210
541311144320
64110211140
71022303025
oct241240544
987512436
1042287460
1121963216
12121b3ab0
1389b7a87
14588ac4c
153aa4940
hex2854164

42287460 has 48 divisors (see below), whose sum is σ = 119750400. Its totient is φ = 11148544.

The previous prime is 42287431. The next prime is 42287461. The reversal of 42287460 is 6478224.

It is not an unprimeable number, because it can be changed into a prime (42287461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1381 + ... + 9299.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 242287460 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 42287460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59875200).

42287460 is an abundant number, since it is smaller than the sum of its proper divisors (77462940).

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

42287460 is a wasteful number, since it uses less digits than its factorization.

42287460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8020 (or 8018 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 42287460 is about 6502.8809000319. The cubic root of 42287460 is about 348.3938927443.

The spelling of 42287460 in words is "forty-two million, two hundred eighty-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 890 1068 1335 1780 2670 5340 7919 15838 23757 31676 39595 47514 79190 95028 118785 158380 237570 475140 704791 1409582 2114373 2819164 3523955 4228746 7047910 8457492 10571865 14095820 21143730 42287460