Search a number
-
+
42451950 = 2352377649
BaseRepresentation
bin1010000111110…
…0001111101110
32221212210010110
42201330033232
541331430300
64113520450
71023556422
oct241741756
987783113
1042451950
1121a65862
1212273126
138a448c8
1458d0b82
153ad8550
hex287c3ee

42451950 has 48 divisors (see below), whose sum is σ = 108140400. Its totient is φ = 11013120.

The previous prime is 42451949. The next prime is 42451957. The reversal of 42451950 is 5915424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42451957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1726 + ... + 9374.

It is an arithmetic number, because the mean of its divisors is an integer number (2252925).

Almost surely, 242451950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42451950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54070200).

42451950 is an abundant number, since it is smaller than the sum of its proper divisors (65688450).

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

42451950 is a wasteful number, since it uses less digits than its factorization.

42451950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7701 (or 7696 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 42451950 is about 6515.5160962122. The cubic root of 42451950 is about 348.8450364704.

The spelling of 42451950 in words is "forty-two million, four hundred fifty-one thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 74 75 111 150 185 222 370 555 925 1110 1850 2775 5550 7649 15298 22947 38245 45894 76490 114735 191225 229470 283013 382450 566026 573675 849039 1147350 1415065 1698078 2830130 4245195 7075325 8490390 14150650 21225975 42451950