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4190952 = 2333143131
BaseRepresentation
bin1111111111001011101000
321212220220110
433333023220
52033102302
6225454320
750423343
oct17771350
97786813
104190952
1124027a7
1214a13a0
13b3976c
147b145a
1557bb6c
hex3ff2e8

4190952 has 64 divisors (see below), whose sum is σ = 11151360. Its totient is φ = 1310400.

The previous prime is 4190933. The next prime is 4190957. The reversal of 4190952 is 2590914.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4190957) 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, 31927 + ... + 32057.

It is an arithmetic number, because the mean of its divisors is an integer number (174240).

Almost surely, 24190952 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 4190952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5575680).

4190952 is an abundant number, since it is smaller than the sum of its proper divisors (6960408).

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

4190952 is a wasteful number, since it uses less digits than its factorization.

4190952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 4190952 is about 2047.1814770557. The cubic root of 4190952 is about 161.2269217618.

The spelling of 4190952 in words is "four million, one hundred ninety thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 31 43 62 86 93 124 129 131 172 186 248 258 262 344 372 393 516 524 744 786 1032 1048 1333 1572 2666 3144 3999 4061 5332 5633 7998 8122 10664 11266 12183 15996 16244 16899 22532 24366 31992 32488 33798 45064 48732 67596 97464 135192 174623 349246 523869 698492 1047738 1396984 2095476 4190952