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42278500 = 2253117687
BaseRepresentation
bin1010000101000…
…1111001100100
32221112222012101
42201101321210
541310403000
64110101444
71022234635
oct241217144
987488171
1042278500
1121957510
12121aa884
1389b3984
14588788c
153aa1e6a
hex2851e64

42278500 has 48 divisors (see below), whose sum is σ = 100743552. Its totient is φ = 15372000.

The previous prime is 42278497. The next prime is 42278501. The reversal of 42278500 is 587224.

It is a super-3 number, since 3×422785003 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42278501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1657 + ... + 9343.

It is an arithmetic number, because the mean of its divisors is an integer number (2098824).

Almost surely, 242278500 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 42278500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50371776).

42278500 is an abundant number, since it is smaller than the sum of its proper divisors (58465052).

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

42278500 is a wasteful number, since it uses less digits than its factorization.

42278500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7717 (or 7705 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 42278500 is about 6502.1919381083. The cubic root of 42278500 is about 348.3692847417.

It can be divided in two parts, 42278 and 500, that added together give a triangular number (42778 = T292).

The spelling of 42278500 in words is "forty-two million, two hundred seventy-eight thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 500 550 1100 1375 2750 5500 7687 15374 30748 38435 76870 84557 153740 169114 192175 338228 384350 422785 768700 845570 960875 1691140 1921750 2113925 3843500 4227850 8455700 10569625 21139250 42278500