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4231872 = 26333179
BaseRepresentation
bin10000001001001011000000
321222000001000
4100021023000
52040404442
6230412000
750653551
oct20111300
97860030
104231872
112430517
121501000
13b52288
147c2328
15588d4c
hex4092c0

4231872 has 112 divisors (see below), whose sum is σ = 13004800. Its totient is φ = 1347840.

The previous prime is 4231859. The next prime is 4231873. The reversal of 4231872 is 2781324.

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

It is not an unprimeable number, because it can be changed into a prime (4231873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53529 + ... + 53607.

Almost surely, 24231872 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 4231872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6502400).

4231872 is an abundant number, since it is smaller than the sum of its proper divisors (8772928).

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

4231872 is a wasteful number, since it uses less digits than its factorization.

4231872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 115 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 4231872 is about 2057.1514285536. The cubic root of 4231872 is about 161.7499571995.

The spelling of 4231872 in words is "four million, two hundred thirty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 79 93 96 108 124 144 158 186 192 216 237 248 279 288 316 372 432 474 496 558 576 632 711 744 837 864 948 992 1116 1264 1422 1488 1674 1728 1896 1984 2133 2232 2449 2528 2844 2976 3348 3792 4266 4464 4898 5056 5688 5952 6696 7347 7584 8532 8928 9796 11376 13392 14694 15168 17064 17856 19592 22041 22752 26784 29388 34128 39184 44082 45504 53568 58776 66123 68256 78368 88164 117552 132246 136512 156736 176328 235104 264492 352656 470208 528984 705312 1057968 1410624 2115936 4231872