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4157244 = 223571347
BaseRepresentation
bin1111110110111100111100
321211012200000
433312330330
52031012434
6225034300
750223150
oct17667474
97735600
104157244
11238a443
121485990
13b27310
147a3060
15571b99
hex3f6f3c

4157244 has 144 divisors (see below), whose sum is σ = 13698048. Its totient is φ = 1073088.

The previous prime is 4157239. The next prime is 4157269. The reversal of 4157244 is 4427514.

4157244 is a `hidden beast` number, since 415 + 7 + 244 = 666.

4157244 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88429 + ... + 88475.

Almost surely, 24157244 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 4157244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6849024).

4157244 is an abundant number, since it is smaller than the sum of its proper divisors (9540804).

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

4157244 is a wasteful number, since it uses less digits than its factorization.

4157244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 72 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 4157244 is about 2038.9320734149. The cubic root of 4157244 is about 160.7935060866.

It can be divided in two parts, 41572 and 44, that added together give a triangular number (41616 = T288).

The spelling of 4157244 in words is "four million, one hundred fifty-seven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 47 52 54 63 78 81 84 91 94 108 117 126 141 156 162 182 188 189 234 243 252 273 282 324 329 351 364 378 423 468 486 546 564 567 611 658 702 756 819 846 972 987 1053 1092 1134 1222 1269 1316 1404 1638 1692 1701 1833 1974 2106 2268 2444 2457 2538 2961 3159 3276 3402 3666 3807 3948 4212 4277 4914 5076 5499 5922 6318 6804 7332 7371 7614 8554 8883 9828 10998 11421 11844 12636 12831 14742 15228 16497 17108 17766 21996 22113 22842 25662 26649 29484 32994 35532 38493 44226 45684 49491 51324 53298 65988 76986 79947 88452 98982 106596 115479 148473 153972 159894 197964 230958 296946 319788 346437 461916 593892 692874 1039311 1385748 2078622 4157244