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42928496 = 24131791153
BaseRepresentation
bin1010001111000…
…0100101110000
32222202222211022
42203300211300
541442202441
64132035012
71030612652
oct243604560
988688738
1042928496
11222608a6
1212462a68
138b807a0
1459b66d2
153b7e84b
hex28f0970

42928496 has 40 divisors (see below), whose sum is σ = 90150480. Its totient is φ = 19685376.

The previous prime is 42928469. The next prime is 42928499. The reversal of 42928496 is 69482924.

It is a happy number.

It is a super-3 number, since 3×429284963 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42928499) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 36656 + ... + 37808.

It is an arithmetic number, because the mean of its divisors is an integer number (2253762).

Almost surely, 242928496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42928496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45075240).

42928496 is an abundant number, since it is smaller than the sum of its proper divisors (47221984).

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

42928496 is a wasteful number, since it uses less digits than its factorization.

42928496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1347 counting only the distinct ones).

The product of its digits is 248832, while the sum is 44.

The square root of 42928496 is about 6551.9841269649. The cubic root of 42928496 is about 350.1455068464.

The spelling of 42928496 in words is "forty-two million, nine hundred twenty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 179 208 358 716 1153 1432 2306 2327 2864 4612 4654 9224 9308 14989 18448 18616 29978 37232 59956 119912 206387 239824 412774 825548 1651096 2683031 3302192 5366062 10732124 21464248 42928496