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3487952 = 241341409
BaseRepresentation
bin1101010011100011010000
320120012120102
431103203100
51343103302
6202431532
741434646
oct15234320
96505512
103487952
111a72606
1212025a8
139517a0
1466b196
1548d702
hex3538d0

3487952 has 40 divisors (see below), whose sum is σ = 7473480. Its totient is φ = 1566720.

The previous prime is 3487933. The next prime is 3487961. The reversal of 3487952 is 2597843.

It can be written as a sum of positive squares in 4 ways, for example, as 87616 + 3400336 = 296^2 + 1844^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8324 + ... + 8732.

It is an arithmetic number, because the mean of its divisors is an integer number (186837).

Almost surely, 23487952 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 3487952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736740).

3487952 is an abundant number, since it is smaller than the sum of its proper divisors (3985528).

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

3487952 is a wasteful number, since it uses less digits than its factorization.

3487952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 465 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 3487952 is about 1867.6059541563. The cubic root of 3487952 is about 151.6550348658.

The spelling of 3487952 in words is "three million, four hundred eighty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 409 533 656 818 1066 1636 2132 3272 4264 5317 6544 8528 10634 16769 21268 33538 42536 67076 85072 134152 217997 268304 435994 871988 1743976 3487952