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2725523232 = 253174735533
BaseRepresentation
bin1010001001110100…
…0010111100100000
321000221112220222220
42202131002330200
521040213220412
61130241231040
7124353364605
oct24235027440
97027486886
102725523232
111179539a43
12640932480
13345881b53
141bbd986ac
1510e42768c
hexa2742f20

2725523232 has 96 divisors (see below), whose sum is σ = 7736746752. Its totient is φ = 836849664.

The previous prime is 2725523219. The next prime is 2725523243. The reversal of 2725523232 is 2323255272.

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 = 2725523193 and 2725523202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58938 + ... + 94470.

It is an arithmetic number, because the mean of its divisors is an integer number (80591112).

Almost surely, 22725523232 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 2725523232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868373376).

2725523232 is an abundant number, since it is smaller than the sum of its proper divisors (5011223520).

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

2725523232 is a wasteful number, since it uses less digits than its factorization.

2725523232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35610 (or 35602 counting only the distinct ones).

The product of its digits is 50400, while the sum is 33.

The square root of 2725523232 is about 52206.5439576304. The cubic root of 2725523232 is about 1396.8506130882.

The spelling of 2725523232 in words is "two billion, seven hundred twenty-five million, five hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 47 48 51 68 94 96 102 136 141 188 204 272 282 376 408 544 564 752 799 816 1128 1504 1598 1632 2256 2397 3196 4512 4794 6392 9588 12784 19176 25568 35533 38352 71066 76704 106599 142132 213198 284264 426396 568528 604061 852792 1137056 1208122 1670051 1705584 1812183 2416244 3340102 3411168 3624366 4832488 5010153 6680204 7248732 9664976 10020306 13360408 14497464 19329952 20040612 26720816 28390867 28994928 40081224 53441632 56781734 57989856 80162448 85172601 113563468 160324896 170345202 227126936 340690404 454253872 681380808 908507744 1362761616 2725523232