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42421752 = 2333238539
BaseRepresentation
bin1010000111010…
…0110111111000
32221211020201000
42201310313320
541324444002
64113125000
71023402402
oct241646770
987736630
1042421752
1121a450aa
1212259760
138a33c39
1458c3b72
153ace61c
hex2874df8

42421752 has 64 divisors (see below), whose sum is σ = 122976000. Its totient is φ = 13524192.

The previous prime is 42421741. The next prime is 42421763. The reversal of 42421752 is 25712424.

It is an interprime number because it is at equal distance from previous prime (42421741) and next prime (42421763).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 699 + ... + 9237.

It is an arithmetic number, because the mean of its divisors is an integer number (1921500).

Almost surely, 242421752 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 42421752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61488000).

42421752 is an abundant number, since it is smaller than the sum of its proper divisors (80554248).

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

42421752 is a wasteful number, since it uses less digits than its factorization.

42421752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8577 (or 8567 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 42421752 is about 6513.1982926977. The cubic root of 42421752 is about 348.7623004102.

The spelling of 42421752 in words is "forty-two million, four hundred twenty-one thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 8539 17078 25617 34156 51234 68312 76851 102468 153702 196397 204936 230553 307404 392794 461106 589191 614808 785588 922212 1178382 1571176 1767573 1844424 2356764 3535146 4713528 5302719 7070292 10605438 14140584 21210876 42421752