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3993608025 = 32521123832
BaseRepresentation
bin1110111000001001…
…1001111101011001
3101022022200022022100
43232002121331121
531134330424100
61500140514013
7200652052041
oct35602317531
911268608270
103993608025
11176a318900
1293554b909
134b84c4194
1429c56c721
15185911400
hexee099f59

3993608025 has 81 divisors (see below), whose sum is σ = 7882965727. Its totient is φ = 1931239200.

The previous prime is 3993607999. The next prime is 3993608033. The reversal of 3993608025 is 5208063993.

The square root of 3993608025 is 63195.

It is a perfect power (a square), and thus also a powerful number.

3993608025 is a `hidden beast` number, since 39 + 9 + 3 + 608 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1437698889 + 2555909136 = 37917^2 + 50556^2 .

It is not a de Polignac number, because 3993608025 - 27 = 3993607897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10426984 + ... + 10427366.

Almost surely, 23993608025 is an apocalyptic number.

3993608025 is the 63195-th square number.

3993608025 is the 31598-th centered octagonal number.

It is an amenable number.

3993608025 is a deficient number, since it is larger than the sum of its proper divisors (3889357702).

3993608025 is a wasteful number, since it uses less digits than its factorization.

3993608025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The cubic root of 3993608025 is about 1586.5550488522. Note that the first 3 decimals are identical.

The spelling of 3993608025 in words is "three billion, nine hundred ninety-three million, six hundred eight thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 275 363 383 495 605 825 1089 1149 1815 1915 2475 3025 3447 4213 5445 5745 9075 9575 12639 17235 21065 27225 28725 37917 46343 63195 86175 105325 139029 146689 189585 231715 315975 417087 440067 695145 733445 947925 1158575 1320201 1613579 2085435 2200335 3475725 3667225 4840737 6601005 8067895 10427175 11001675 14522211 17749369 24203685 33005025 40339475 53248107 72611055 88746845 121018425 159744321 266240535 363055275 443734225 798721605 1331202675 3993608025