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42521430 = 23571910657
BaseRepresentation
bin1010001000110…
…1001101010110
32222000022102210
42202031031112
541341141210
64115214250
71024266120
oct242151526
988008383
1042521430
1122002a86
12122a7386
138a6a413
14590c210
153aede20
hex288d356

42521430 has 64 divisors (see below), whose sum is σ = 122780160. Its totient is φ = 9206784.

The previous prime is 42521419. The next prime is 42521443. The reversal of 42521430 is 3412524.

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

It is a junction number, because it is equal to n+sod(n) for n = 42521397 and 42521406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1339 + ... + 9318.

It is an arithmetic number, because the mean of its divisors is an integer number (1918440).

Almost surely, 242521430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42521430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61390080).

42521430 is an abundant number, since it is smaller than the sum of its proper divisors (80258730).

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

42521430 is a wasteful number, since it uses less digits than its factorization.

42521430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10693.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 42521430 is about 6520.8458040349. The cubic root of 42521430 is about 349.0352479294.

Adding to 42521430 its reverse (3412524), we get a palindrome (45933954).

The spelling of 42521430 in words is "forty-two million, five hundred twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1330 1995 3990 10657 21314 31971 53285 63942 74599 106570 149198 159855 202483 223797 319710 372995 404966 447594 607449 745990 1012415 1118985 1214898 1417381 2024830 2237970 2834762 3037245 4252143 6074490 7086905 8504286 14173810 21260715 42521430