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852096102 = 2311133832593
BaseRepresentation
bin110010110010011…
…111010001100110
32012101100222002220
4302302133101212
53221114033402
6220315213210
730054461124
oct6262372146
92171328086
10852096102
113a7a93460
121b9447206
131076c33a0
148124a914
154ec17dbc
hex32c9f466

852096102 has 64 divisors (see below), whose sum is σ = 2008129536. Its totient is φ = 237634560.

The previous prime is 852096079. The next prime is 852096107. The reversal of 852096102 is 201690258.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852096107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327318 + ... + 329910.

It is an arithmetic number, because the mean of its divisors is an integer number (31377024).

Almost surely, 2852096102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852096102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004064768).

852096102 is an abundant number, since it is smaller than the sum of its proper divisors (1156033434).

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

852096102 is a wasteful number, since it uses less digits than its factorization.

852096102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3005.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 852096102 is about 29190.6851923692. The cubic root of 852096102 is about 948.0462532401.

The spelling of 852096102 in words is "eight hundred fifty-two million, ninety-six thousand, one hundred two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 383 429 766 858 1149 2298 2593 4213 4979 5186 7779 8426 9958 12639 14937 15558 25278 28523 29874 33709 54769 57046 67418 85569 101127 109538 164307 171138 202254 328614 370799 741598 993119 1112397 1986238 2224794 2979357 5958714 10924309 12910547 21848618 25821094 32772927 38731641 65545854 77463282 142016017 284032034 426048051 852096102