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42411952 = 24112191153
BaseRepresentation
bin1010000111001…
…0011110110000
32221210202021001
42201302132300
541324140302
64113011344
71023332002
oct241623660
987722231
1042411952
1121a38800
1212253b54
138a2c63b
1458c0372
153acb787
hex28727b0

42411952 has 60 divisors (see below), whose sum is σ = 95158840. Its totient is φ = 18247680.

The previous prime is 42411913. The next prime is 42411959. The reversal of 42411952 is 25911424.

It is a self number, because there is not a number n which added to its sum of digits gives 42411952.

It is not an unprimeable number, because it can be changed into a prime (42411959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36208 + ... + 37360.

Almost surely, 242411952 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 42411952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47579420).

42411952 is an abundant number, since it is smaller than the sum of its proper divisors (52746888).

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

42411952 is a wasteful number, since it uses less digits than its factorization.

42411952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1185 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 42411952 is about 6512.4459306777. The cubic root of 42411952 is about 348.7354420682.

The spelling of 42411952 in words is "forty-two million, four hundred eleven thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 121 152 176 209 242 304 418 484 836 968 1153 1672 1936 2299 2306 3344 4598 4612 9196 9224 12683 18392 18448 21907 25366 36784 43814 50732 87628 101464 139513 175256 202928 240977 279026 350512 481954 558052 963908 1116104 1927816 2232208 2650747 3855632 5301494 10602988 21205976 42411952