Search a number
-
+
42351408 = 24321126737
BaseRepresentation
bin1010000110001…
…1101100110000
32221200200012200
42201203230300
541320221113
64111423200
71022660331
oct241435460
987620180
1042351408
11219a7270
1212224b00
138a0ac08
1458a6288
153ab8873
hex2863b30

42351408 has 60 divisors (see below), whose sum is σ = 129304968. Its totient is φ = 12833280.

The previous prime is 42351391. The next prime is 42351427. The reversal of 42351408 is 80415324.

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 11 ways as a sum of consecutive naturals, for example, 11785 + ... + 14952.

Almost surely, 242351408 is an apocalyptic number.

42351408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42351408 is an abundant number, since it is smaller than the sum of its proper divisors (86953560).

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

42351408 is a wasteful number, since it uses less digits than its factorization.

42351408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26762 (or 26753 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 42351408 is about 6507.7959402550. The cubic root of 42351408 is about 348.5694205231.

The spelling of 42351408 in words is "forty-two million, three hundred fifty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 26737 53474 80211 106948 160422 213896 240633 294107 320844 427792 481266 588214 641688 882321 962532 1176428 1283376 1764642 1925064 2352856 2646963 3529284 3850128 4705712 5293926 7058568 10587852 14117136 21175704 42351408