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3522350052 = 22321325031151
BaseRepresentation
bin1101000111110010…
…1100101111100100
3100002110220220220100
43101330230233210
524203210200202
61341304104100
7153200324064
oct32174545744
910073826810
103522350052
111548302801
12823765030
13441993600
14255b393a4
1515937441c
hexd1f2cbe4

3522350052 has 108 divisors (see below), whose sum is σ = 9668865024. Its totient is φ = 1080705600.

The previous prime is 3522350047. The next prime is 3522350077. The reversal of 3522350052 is 2500532253.

It is a junction number, because it is equal to n+sod(n) for n = 3522349998 and 3522350025.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3059677 + ... + 3060827.

It is an arithmetic number, because the mean of its divisors is an integer number (89526528).

Almost surely, 23522350052 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 3522350052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834432512).

3522350052 is an abundant number, since it is smaller than the sum of its proper divisors (6146514972).

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

3522350052 is a wasteful number, since it uses less digits than its factorization.

3522350052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 3522350052 is about 59349.3896514530. The cubic root of 3522350052 is about 1521.5194368757.

The spelling of 3522350052 in words is "three billion, five hundred twenty-two million, three hundred fifty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 503 507 676 1006 1014 1151 1509 1521 2012 2028 2302 3018 3042 3453 4527 4604 6036 6084 6539 6906 9054 10359 13078 13812 14963 18108 19617 20718 26156 29926 39234 41436 44889 58851 59852 78468 85007 89778 117702 134667 170014 179556 194519 235404 255021 269334 340028 389038 510042 538668 578953 583557 765063 778076 1020084 1157906 1167114 1530126 1736859 1750671 2315812 2334228 3060252 3473718 3501342 5210577 6947436 7002684 7526389 10421154 15052778 20842308 22579167 30105556 45158334 67737501 90316668 97843057 135475002 195686114 270950004 293529171 391372228 587058342 880587513 1174116684 1761175026 3522350052