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4129944 = 2337133161
BaseRepresentation
bin1111110000010010011000
321202211012220
433300102120
52024124234
6224304040
750050440
oct17602230
97684186
104129944
112370985
121472020
13b17a70
14797120
15568a49
hex3f0498

4129944 has 128 divisors (see below), whose sum is σ = 13332480. Its totient is φ = 1036800.

The previous prime is 4129943. The next prime is 4129981. The reversal of 4129944 is 4499214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4129943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67674 + ... + 67734.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

Almost surely, 24129944 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 4129944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6666240).

4129944 is an abundant number, since it is smaller than the sum of its proper divisors (9202536).

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

4129944 is a wasteful number, since it uses less digits than its factorization.

4129944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 117 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 4129944 is about 2032.2263653442. The cubic root of 4129944 is about 160.4407638469.

The spelling of 4129944 in words is "four million, one hundred twenty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 31 39 42 52 56 61 62 78 84 91 93 104 122 124 156 168 182 183 186 217 244 248 273 312 364 366 372 403 427 434 488 546 651 728 732 744 793 806 854 868 1092 1209 1281 1302 1464 1586 1612 1708 1736 1891 2184 2379 2418 2562 2604 2821 3172 3224 3416 3782 4758 4836 5124 5208 5551 5642 5673 6344 7564 8463 9516 9672 10248 11102 11284 11346 13237 15128 16653 16926 19032 22204 22568 22692 24583 26474 33306 33852 39711 44408 45384 49166 52948 66612 67704 73749 79422 98332 105896 133224 147498 158844 172081 196664 294996 317688 344162 516243 589992 688324 1032486 1376648 2064972 4129944