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2047057672 = 231128923761
BaseRepresentation
bin111101000000011…
…1001111100001000
312021122220022012211
41322000321330020
513143021321142
6535043314504
7101504463112
oct17200717410
95248808184
102047057672
11960568800
1249167ba34
1326814243a
14155c283b2
15beaaa917
hex7a039f08

2047057672 has 48 divisors (see below), whose sum is σ = 4266467100. Its totient is φ = 919987200.

The previous prime is 2047057643. The next prime is 2047057673. The reversal of 2047057672 is 2767507402.

It can be written as a sum of positive squares in 2 ways, for example, as 2008294596 + 38763076 = 44814^2 + 6226^2 .

It is a super-2 number, since 2×20470576722 = 8380890224988119168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2047057673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74272 + ... + 98032.

Almost surely, 22047057672 is an apocalyptic number.

2047057672 is a gapful number since it is divisible by the number (22) 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 2047057672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133233550).

2047057672 is an abundant number, since it is smaller than the sum of its proper divisors (2219409428).

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

2047057672 is a wasteful number, since it uses less digits than its factorization.

2047057672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23878 (or 23863 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 40.

The square root of 2047057672 is about 45244.4214461849. The cubic root of 2047057672 is about 1269.7260392384.

The spelling of 2047057672 in words is "two billion, forty-seven million, fifty-seven thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 22 44 88 89 121 178 242 356 484 712 968 979 1958 3916 7832 10769 21538 23761 43076 47522 86152 95044 190088 261371 522742 1045484 2090968 2114729 2875081 4229458 5750162 8458916 11500324 16917832 23000648 23262019 46524038 93048076 186096152 255882209 511764418 1023528836 2047057672