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42632240 = 245776129
BaseRepresentation
bin1010001010100…
…0010000110000
32222012221102212
42202220100300
541403212430
64121431252
71025240150
oct242502060
988187385
1042632240
1122079262
121233b528
138aa89a1
14593a760
153b21b95
hex28a8430

42632240 has 40 divisors (see below), whose sum is σ = 113281440. Its totient is φ = 14616576.

The previous prime is 42632237. The next prime is 42632267. The reversal of 42632240 is 4223624.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37505 + ... + 38624.

It is an arithmetic number, because the mean of its divisors is an integer number (2832036).

Almost surely, 242632240 is an apocalyptic number.

42632240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42632240 is an abundant number, since it is smaller than the sum of its proper divisors (70649200).

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

42632240 is a wasteful number, since it uses less digits than its factorization.

42632240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76149 (or 76143 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 42632240 is about 6529.3368729144. The cubic root of 42632240 is about 349.3381779074.

Adding to 42632240 its reverse (4223624), we get a palindrome (46855864).

The spelling of 42632240 in words is "forty-two million, six hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 76129 152258 304516 380645 532903 609032 761290 1065806 1218064 1522580 2131612 2664515 3045160 4263224 5329030 6090320 8526448 10658060 21316120 42632240