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36050016 = 2532329563
BaseRepresentation
bin1000100110000…
…1010001100000
32111211112022210
42021201101200
533212100031
63324402120
7615264042
oct211412140
974745283
1036050016
1119392a02
12100a6340
137612992
144b05a92
153271746
hex2261460

36050016 has 96 divisors (see below), whose sum is σ = 102332160. Its totient is φ = 11078144.

The previous prime is 36050009. The next prime is 36050023. The reversal of 36050016 is 61005063.

It is an interprime number because it is at equal distance from previous prime (36050009) and next prime (36050023).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 36049974 and 36050001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63751 + ... + 64313.

It is an arithmetic number, because the mean of its divisors is an integer number (1065960).

Almost surely, 236050016 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 36050016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51166080).

36050016 is an abundant number, since it is smaller than the sum of its proper divisors (66282144).

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

36050016 is a wasteful number, since it uses less digits than its factorization.

36050016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 36050016 is about 6004.1665533195. The cubic root of 36050016 is about 330.3455700467.

Adding to 36050016 its reverse (61005063), we get a palindrome (97055079).

The spelling of 36050016 in words is "thirty-six million, fifty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 69 87 92 96 116 138 174 184 232 276 348 368 464 552 563 667 696 736 928 1104 1126 1334 1392 1689 2001 2208 2252 2668 2784 3378 4002 4504 5336 6756 8004 9008 10672 12949 13512 16008 16327 18016 21344 25898 27024 32016 32654 38847 48981 51796 54048 64032 65308 77694 97962 103592 130616 155388 195924 207184 261232 310776 375521 391848 414368 522464 621552 751042 783696 1126563 1243104 1502084 1567392 2253126 3004168 4506252 6008336 9012504 12016672 18025008 36050016