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40708128 = 253676329
BaseRepresentation
bin1001101101001…
…0100000100000
32211121012001110
42123102200200
540410130003
64012303320
71003004406
oct233224040
984535043
1040708128
1120a8468a
1211771b40
138583c66
145599476
153891a03
hex26d2820

40708128 has 48 divisors (see below), whose sum is σ = 108470880. Its totient is φ = 13364736.

The previous prime is 40708123. The next prime is 40708133. The reversal of 40708128 is 82180704.

It is an interprime number because it is at equal distance from previous prime (40708123) and next prime (40708133).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 40708095 and 40708104.

It is not an unprimeable number, because it can be changed into a prime (40708123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3268 + ... + 9596.

It is an arithmetic number, because the mean of its divisors is an integer number (2259810).

Almost surely, 240708128 is an apocalyptic number.

40708128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40708128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54235440).

40708128 is an abundant number, since it is smaller than the sum of its proper divisors (67762752).

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

40708128 is a wasteful number, since it uses less digits than its factorization.

40708128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6409 (or 6401 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 40708128 is about 6380.2921563201. The cubic root of 40708128 is about 344.0015323530.

The spelling of 40708128 in words is "forty million, seven hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 3216 6329 6432 12658 18987 25316 37974 50632 75948 101264 151896 202528 303792 424043 607584 848086 1272129 1696172 2544258 3392344 5088516 6784688 10177032 13569376 20354064 40708128