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201052608 = 26317311987
BaseRepresentation
bin10111111101111…
…01000111000000
3112000022112022220
423332331013000
5402432140413
631541131040
74660630131
oct1376750700
9460275286
10201052608
11a3541889
12573b9a80
1332865453
141c9b7c88
15129b6223
hexbfbd1c0

201052608 has 112 divisors (see below), whose sum is σ = 581704704. Its totient is φ = 61009920.

The previous prime is 201052603. The next prime is 201052609. The reversal of 201052608 is 806250102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201052603) 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, 100191 + ... + 102177.

It is an arithmetic number, because the mean of its divisors is an integer number (5193792).

Almost surely, 2201052608 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 201052608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290852352).

201052608 is an abundant number, since it is smaller than the sum of its proper divisors (380652096).

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

201052608 is a wasteful number, since it uses less digits than its factorization.

201052608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 201052608 is about 14179.3020984814. The cubic root of 201052608 is about 585.8277011726.

The spelling of 201052608 in words is "two hundred one million, fifty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 124 136 186 192 204 248 272 372 408 496 527 544 744 816 992 1054 1088 1488 1581 1632 1984 1987 2108 2976 3162 3264 3974 4216 5952 5961 6324 7948 8432 11922 12648 15896 16864 23844 25296 31792 33728 33779 47688 50592 61597 63584 67558 95376 101184 101337 123194 127168 135116 184791 190752 202674 246388 270232 369582 381504 405348 492776 540464 739164 810696 985552 1047149 1080928 1478328 1621392 1971104 2094298 2161856 2956656 3141447 3242784 3942208 4188596 5913312 6282894 6485568 8377192 11826624 12565788 16754384 25131576 33508768 50263152 67017536 100526304 201052608