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8035405472 = 25535239059
BaseRepresentation
bin1110111101111001…
…01000111010100000
3202202000000220002002
413132330220322200
5112424030433342
63405202343132
7403060551053
oct73674507240
922660026062
108035405472
113453860076
12168305aaa8
139b098b5c3
14563282a9a
15320690d32
hex1def28ea0

8035405472 has 48 divisors (see below), whose sum is σ = 16150790880. Its totient is φ = 3933925632.

The previous prime is 8035405471. The next prime is 8035405489. The reversal of 8035405472 is 2745045308.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (8035405471) 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, 882479 + ... + 891537.

It is an arithmetic number, because the mean of its divisors is an integer number (336474810).

Almost surely, 28035405472 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 8035405472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8075395440).

8035405472 is an abundant number, since it is smaller than the sum of its proper divisors (8115385408).

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

8035405472 is a wasteful number, since it uses less digits than its factorization.

8035405472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9645 (or 9637 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 38.

The square root of 8035405472 is about 89640.4232029278. The cubic root of 8035405472 is about 2002.9461140750.

The spelling of 8035405472 in words is "eight billion, thirty-five million, four hundred five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 53 106 212 424 523 848 1046 1696 2092 4184 8368 9059 16736 18118 27719 36236 55438 72472 110876 144944 221752 289888 443504 480127 887008 960254 1920508 3841016 4737857 7682032 9475714 15364064 18951428 37902856 75805712 151611424 251106421 502212842 1004425684 2008851368 4017702736 8035405472