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3986352 = 2432193147
BaseRepresentation
bin1111001101001110110000
321111112020200
433031032300
52010030402
6221235200
745612006
oct17151660
97445220
103986352
112283007
121402b00
13a975b6
1475aa76
1553b21c
hex3cd3b0

3986352 has 120 divisors (see below), whose sum is σ = 12380160. Its totient is φ = 1192320.

The previous prime is 3986351. The next prime is 3986357. The reversal of 3986352 is 2536893.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3986351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84793 + ... + 84839.

It is an arithmetic number, because the mean of its divisors is an integer number (103168).

Almost surely, 23986352 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 3986352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190080).

3986352 is an abundant number, since it is smaller than the sum of its proper divisors (8393808).

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

3986352 is a wasteful number, since it uses less digits than its factorization.

3986352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 102 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 3986352 is about 1996.5850845882. The cubic root of 3986352 is about 158.5593590591.

The spelling of 3986352 in words is "three million, nine hundred eighty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 36 38 47 48 57 62 72 76 93 94 114 124 141 144 152 171 186 188 228 248 279 282 304 342 372 376 423 456 496 558 564 589 684 744 752 846 893 912 1116 1128 1178 1368 1457 1488 1692 1767 1786 2232 2256 2356 2679 2736 2914 3384 3534 3572 4371 4464 4712 5301 5358 5828 6768 7068 7144 8037 8742 9424 10602 10716 11656 13113 14136 14288 16074 17484 21204 21432 23312 26226 27683 28272 32148 34968 42408 42864 52452 55366 64296 69936 83049 84816 104904 110732 128592 166098 209808 221464 249147 332196 442928 498294 664392 996588 1328784 1993176 3986352