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3961152 = 263213232
BaseRepresentation
bin1111000111000101000000
321110020200100
433013011000
52003224102
6220522400
745445356
oct17070500
97406610
103961152
112266088
1213b0400
13a88ca0
147517d6
15533a1c
hex3c7140

3961152 has 126 divisors (see below), whose sum is σ = 12782042. Its totient is φ = 1165824.

The previous prime is 3961147. The next prime is 3961159. The reversal of 3961152 is 2511693.

It can be written as a sum of positive squares in only one way, i.e., 2742336 + 1218816 = 1656^2 + 1104^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3961159) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 172213 + ... + 172235.

Almost surely, 23961152 is an apocalyptic number.

3961152 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 3961152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6391021).

3961152 is an abundant number, since it is smaller than the sum of its proper divisors (8820890).

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

3961152 is a wasteful number, since it uses less digits than its factorization.

3961152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 41 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 3961152 is about 1990.2643040561. The cubic root of 3961152 is about 158.2245378799.

The spelling of 3961152 in words is "three million, nine hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 64 69 72 78 92 96 104 117 138 144 156 184 192 207 208 234 276 288 299 312 368 414 416 468 529 552 576 598 624 736 828 832 897 936 1058 1104 1196 1248 1472 1587 1656 1794 1872 2116 2208 2392 2496 2691 3174 3312 3588 3744 4232 4416 4761 4784 5382 6348 6624 6877 7176 7488 8464 9522 9568 10764 12696 13248 13754 14352 16928 19044 19136 20631 21528 25392 27508 28704 33856 38088 41262 43056 50784 55016 57408 61893 76176 82524 86112 101568 110032 123786 152352 165048 172224 220064 247572 304704 330096 440128 495144 660192 990288 1320384 1980576 3961152