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1052113752 = 233319256363
BaseRepresentation
bin111110101101011…
…111101101011000
32201022201220202000
4332231133231120
54123320120002
6252222241000
735033551014
oct7655375530
92638656660
101052113752
1149a9886a8
12254426160
13139c85721
149da35544
156257761c
hex3eb5fb58

1052113752 has 64 divisors (see below), whose sum is σ = 3076368000. Its totient is φ = 332245152.

The previous prime is 1052113739. The next prime is 1052113757. The reversal of 1052113752 is 2573112501.

1052113752 is a `hidden beast` number, since 1 + 0 + 521 + 137 + 5 + 2 = 666.

It is a super-2 number, since 2×10521137522 = 2213886694295035008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052113757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124078 + ... + 132285.

It is an arithmetic number, because the mean of its divisors is an integer number (48068250).

Almost surely, 21052113752 is an apocalyptic number.

1052113752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1052113752 is an abundant number, since it is smaller than the sum of its proper divisors (2024254248).

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

1052113752 is a wasteful number, since it uses less digits than its factorization.

1052113752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256397 (or 256387 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 1052113752 is about 32436.3029952552. The cubic root of 1052113752 is about 1017.0779345258.

The spelling of 1052113752 in words is "one billion, fifty-two million, one hundred thirteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 256363 512726 769089 1025452 1538178 2050904 2307267 3076356 4614534 4870897 6152712 6921801 9229068 9741794 13843602 14612691 18458136 19483588 27687204 29225382 38967176 43838073 55374408 58450764 87676146 116901528 131514219 175352292 263028438 350704584 526056876 1052113752