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42114450 = 23527192111
BaseRepresentation
bin1010000010100…
…1110110010010
32221020122011110
42200221312102
541240130300
64102354150
71020652440
oct240516622
987218143
1042114450
1121855234
121212b956
1389570c1
145843b90
153a6d550
hex2829d92

42114450 has 96 divisors (see below), whose sum is σ = 125706240. Its totient is φ = 9115200.

The previous prime is 42114433. The next prime is 42114481. The reversal of 42114450 is 5441124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 18895 + ... + 21005.

It is an arithmetic number, because the mean of its divisors is an integer number (1309440).

Almost surely, 242114450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42114450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62853120).

42114450 is an abundant number, since it is smaller than the sum of its proper divisors (83591790).

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

42114450 is a wasteful number, since it uses less digits than its factorization.

42114450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 42114450 is about 6489.5647003478. The cubic root of 42114450 is about 347.9181172126.

Adding to 42114450 its reverse (5441124), we get a palindrome (47555574).

The spelling of 42114450 in words is "forty-two million, one hundred fourteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 25 30 35 38 42 50 57 70 75 95 105 114 133 150 175 190 210 266 285 350 399 475 525 570 665 798 950 1050 1330 1425 1995 2111 2850 3325 3990 4222 6333 6650 9975 10555 12666 14777 19950 21110 29554 31665 40109 44331 52775 63330 73885 80218 88662 105550 120327 147770 158325 200545 221655 240654 280763 316650 369425 401090 443310 561526 601635 738850 842289 1002725 1108275 1203270 1403815 1684578 2005450 2216550 2807630 3008175 4211445 6016350 7019075 8422890 14038150 21057225 42114450