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42053308 = 221121719269
BaseRepresentation
bin1010000001101…
…0111010111100
32221010112021221
42200122322330
541231201213
64101203124
71020306253
oct240327274
987115257
1042053308
1121813300
12121004a4
13893531b
14582979a
153a5a38d
hex281aebc

42053308 has 72 divisors (see below), whose sum is σ = 90493200. Its totient is φ = 16980480.

The previous prime is 42053303. The next prime is 42053311. The reversal of 42053308 is 80335024.

42053308 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42053303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156198 + ... + 156466.

It is an arithmetic number, because the mean of its divisors is an integer number (1256850).

Almost surely, 242053308 is an apocalyptic number.

It is an amenable number.

42053308 is an abundant number, since it is smaller than the sum of its proper divisors (48439892).

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

42053308 is a wasteful number, since it uses less digits than its factorization.

42053308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 42053308 is about 6484.8521956942. The cubic root of 42053308 is about 347.7496658275.

The spelling of 42053308 in words is "forty-two million, fifty-three thousand, three hundred eight".

Divisors: 1 2 4 11 17 19 22 34 38 44 68 76 121 187 209 242 269 323 374 418 484 538 646 748 836 1076 1292 2057 2299 2959 3553 4114 4573 4598 5111 5918 7106 8228 9146 9196 10222 11836 14212 18292 20444 32549 39083 50303 56221 65098 78166 86887 100606 112442 130196 156332 173774 201212 224884 347548 553333 618431 955757 1106666 1236862 1911514 2213332 2473724 3823028 10513327 21026654 42053308