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3874752 = 26327312
BaseRepresentation
bin1110110001111111000000
321021212011100
432301333000
51442443002
6215014400
744635440
oct16617700
97255140
103874752
112207182
12136a400
13a5886b
1472c120
1551811c
hex3b1fc0

3874752 has 126 divisors (see below), whose sum is σ = 13115544. Its totient is φ = 1071360.

The previous prime is 3874747. The next prime is 3874753. The reversal of 3874752 is 2574783.

It is a tau number, because it is divible by the number of its divisors (126).

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

It is a d-powerful number, because it can be written as 38 + 87 + 74 + 410 + 76 + 57 + 219 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3874753) 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, 124977 + ... + 125007.

Almost surely, 23874752 is an apocalyptic number.

3874752 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 3874752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6557772).

3874752 is an abundant number, since it is smaller than the sum of its proper divisors (9240792).

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

3874752 is a wasteful number, since it uses less digits than its factorization.

3874752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 43 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 3874752 is about 1968.4389754321. The cubic root of 3874752 is about 157.0656817421.

The spelling of 3874752 in words is "three million, eight hundred seventy-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 64 72 84 93 96 112 124 126 144 168 186 192 217 224 248 252 279 288 336 372 434 448 496 504 558 576 651 672 744 868 961 992 1008 1116 1302 1344 1488 1736 1922 1953 1984 2016 2232 2604 2883 2976 3472 3844 3906 4032 4464 5208 5766 5952 6727 6944 7688 7812 8649 8928 10416 11532 13454 13888 15376 15624 17298 17856 20181 20832 23064 26908 30752 31248 34596 40362 41664 46128 53816 60543 61504 62496 69192 80724 92256 107632 121086 124992 138384 161448 184512 215264 242172 276768 322896 430528 484344 553536 645792 968688 1291584 1937376 3874752