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2054697552 = 24324327717
BaseRepresentation
bin111101001111000…
…0011001001010000
312022012021110011100
41322132003021100
513202000310202
6535515144400
7101626432605
oct17236031120
95265243140
102054697552
11964906756
12494145100
132698b898b
14156c566ac
15c05b941c
hex7a783250

2054697552 has 90 divisors (see below), whose sum is σ = 5887900122. Its totient is φ = 668884608.

The previous prime is 2054697539. The next prime is 2054697581. The reversal of 2054697552 is 2557964502.

2054697552 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 6 + 97 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1746905616 + 307791936 = 41796^2 + 17544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2054697498 and 2054697507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 262398 + ... + 270114.

Almost surely, 22054697552 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 2054697552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943950061).

2054697552 is an abundant number, since it is smaller than the sum of its proper divisors (3833202570).

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

2054697552 is a wasteful number, since it uses less digits than its factorization.

2054697552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7817 (or 7765 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 2054697552 is about 45328.7717901114. The cubic root of 2054697552 is about 1271.3036713301.

The spelling of 2054697552 in words is "two billion, fifty-four million, six hundred ninety-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 1849 2064 3096 3698 5547 6192 7396 7717 11094 14792 15434 16641 22188 23151 29584 30868 33282 44376 46302 61736 66564 69453 88752 92604 123472 133128 138906 185208 266256 277812 331831 370416 555624 663662 995493 1111248 1327324 1990986 2654648 2986479 3981972 5309296 5972958 7963944 11945916 14268733 15927888 23891832 28537466 42806199 47783664 57074932 85612398 114149864 128418597 171224796 228299728 256837194 342449592 513674388 684899184 1027348776 2054697552