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42111252 = 2234235651
BaseRepresentation
bin1010000010100…
…1000100010100
32221020110210000
42200221010110
541240030002
64102331300
71020640221
oct240510424
987213700
1042111252
1121852897
1212129b30
138955801
145842948
153a6c61c
hex2829114

42111252 has 60 divisors (see below), whose sum is σ = 114893856. Its totient is φ = 13424400.

The previous prime is 42111247. The next prime is 42111253. The reversal of 42111252 is 25211124.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42111253) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4627 + ... + 10277.

Almost surely, 242111252 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 42111252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57446928).

42111252 is an abundant number, since it is smaller than the sum of its proper divisors (72782604).

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

42111252 is a wasteful number, since it uses less digits than its factorization.

42111252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5690 (or 5679 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 42111252 is about 6489.3183000990. The cubic root of 42111252 is about 347.9093104942.

Adding to 42111252 its reverse (25211124), we get a palindrome (67322376).

The spelling of 42111252 in words is "forty-two million, one hundred eleven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 621 828 1242 1863 2484 3726 5651 7452 11302 16953 22604 33906 50859 67812 101718 129973 152577 203436 259946 305154 389919 457731 519892 610308 779838 915462 1169757 1559676 1830924 2339514 3509271 4679028 7018542 10527813 14037084 21055626 42111252