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1052642115 = 33577315259
BaseRepresentation
bin111110101111100…
…000101101000011
32201100201202112000
4332233200231003
54123434021430
6252241435043
735041211310
oct7657405503
92640652460
101052642115
114a0209668
1225463ba83
1313a10c075
149db31d07
156262de60
hex3ebe0b43

1052642115 has 64 divisors (see below), whose sum is σ = 2168140800. Its totient is φ = 474584832.

The previous prime is 1052642113. The next prime is 1052642131. The reversal of 1052642115 is 5112462501.

1052642115 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 642 + 1 + 15 = 666.

It is not a de Polignac number, because 1052642115 - 21 = 1052642113 is a prime.

It is a super-2 number, since 2×10526421152 = 2216110844543346450, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1052642113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61356 + ... + 76614.

It is an arithmetic number, because the mean of its divisors is an integer number (33877200).

Almost surely, 21052642115 is an apocalyptic number.

1052642115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1052642115 is an abundant number, since it is smaller than the sum of its proper divisors (1115498685).

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

1052642115 is a wasteful number, since it uses less digits than its factorization.

1052642115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15353 (or 15347 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1052642115 is about 32444.4465972222. The cubic root of 1052642115 is about 1017.2481621322.

The spelling of 1052642115 in words is "one billion, fifty-two million, six hundred forty-two thousand, one hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 73 105 135 189 219 315 365 511 657 945 1095 1533 1971 2555 3285 4599 7665 9855 13797 15259 22995 45777 68985 76295 106813 137331 228885 320439 411993 534065 686655 961317 1113907 1602195 2059965 2883951 3341721 4806585 5569535 7797349 10025163 14419755 16708605 23392047 30075489 38986745 50125815 70176141 116960235 150377445 210528423 350880705 1052642115