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3125952 = 263667
BaseRepresentation
bin1011111011001011000000
312212211000000
423323023000
51300012302
6151000000
735366364
oct13731300
95784000
103125952
111845635
121069000
13855a9b
145b52a4
1541b31c
hex2fb2c0

3125952 has 98 divisors (see below), whose sum is σ = 9439148. Its totient is φ = 1026432.

The previous prime is 3125921. The next prime is 3125957. The reversal of 3125952 is 2595213.

3125952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3125957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 46623 + ... + 46689.

Almost surely, 23125952 is an apocalyptic number.

3125952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3125952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719574).

3125952 is an abundant number, since it is smaller than the sum of its proper divisors (6313196).

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

3125952 is an frugal number, since it uses more digits than its factorization.

3125952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 72 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 3125952 is about 1768.0361987244. The cubic root of 3125952 is about 146.2157316160.

The spelling of 3125952 in words is "three million, one hundred twenty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 81 96 108 134 144 162 192 201 216 243 268 288 324 402 432 486 536 576 603 648 729 804 864 972 1072 1206 1296 1458 1608 1728 1809 1944 2144 2412 2592 2916 3216 3618 3888 4288 4824 5184 5427 5832 6432 7236 7776 9648 10854 11664 12864 14472 15552 16281 19296 21708 23328 28944 32562 38592 43416 46656 48843 57888 65124 86832 97686 115776 130248 173664 195372 260496 347328 390744 520992 781488 1041984 1562976 3125952