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3942736 = 247247107
BaseRepresentation
bin1111000010100101010000
321102022102021
433002211100
52002131421
6220301224
745340600
oct17024520
97368367
103942736
112253266
1213a1814
13a807a5
14748c00
1552d341
hex3c2950

3942736 has 60 divisors (see below), whose sum is σ = 9160128. Its totient is φ = 1638336.

The previous prime is 3942727. The next prime is 3942739. The reversal of 3942736 is 6372493.

It is a d-powerful number, because it can be written as 39 + 96 + 42 + 23 + 76 + 313 + 68 .

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3942739) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36795 + ... + 36901.

Almost surely, 23942736 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 3942736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580064).

3942736 is an abundant number, since it is smaller than the sum of its proper divisors (5217392).

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

3942736 is a wasteful number, since it uses less digits than its factorization.

3942736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 163 counting only the distinct ones).

The product of its digits is 27216, while the sum is 34.

The square root of 3942736 is about 1985.6323929670. The cubic root of 3942736 is about 157.9789535605.

The spelling of 3942736 in words is "three million, nine hundred forty-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 47 49 56 94 98 107 112 188 196 214 329 376 392 428 658 749 752 784 856 1316 1498 1712 2303 2632 2996 4606 5029 5243 5264 5992 9212 10058 10486 11984 18424 20116 20972 35203 36848 40232 41944 70406 80464 83888 140812 246421 281624 492842 563248 985684 1971368 3942736