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42146700 = 22352373797
BaseRepresentation
bin1010000011000…
…1101110001100
32221022021101220
42200301232030
541242143300
64103203340
71021145451
oct240615614
987267356
1042146700
1121877492
1212146550
13896899b
145851828
153a77da0
hex2831b8c

42146700 has 72 divisors (see below), whose sum is σ = 125273232. Its totient is φ = 10932480.

The previous prime is 42146683. The next prime is 42146707. The reversal of 42146700 is 764124.

It is not an unprimeable number, because it can be changed into a prime (42146707) 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 23 ways as a sum of consecutive naturals, for example, 9202 + ... + 12998.

It is an arithmetic number, because the mean of its divisors is an integer number (1739906).

Almost surely, 242146700 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 42146700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62636616).

42146700 is an abundant number, since it is smaller than the sum of its proper divisors (83126532).

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

42146700 is a wasteful number, since it uses less digits than its factorization.

42146700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3851 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 42146700 is about 6492.0489831793. The cubic root of 42146700 is about 348.0069030207.

The spelling of 42146700 in words is "forty-two million, one hundred forty-six thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 3797 5550 7594 11100 11391 15188 18985 22782 37970 45564 56955 75940 94925 113910 140489 189850 227820 280978 284775 379700 421467 561956 569550 702445 842934 1139100 1404890 1685868 2107335 2809780 3512225 4214670 7024450 8429340 10536675 14048900 21073350 42146700