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4042752 = 2123747
BaseRepresentation
bin1111011011000000000000
321121101121120
433123000000
52013332002
6222352240
746235310
oct17330000
97541546
104042752
11231141a
12142b680
13ab717c
14773440
1554ccbc
hex3db000

4042752 has 104 divisors (see below), whose sum is σ = 12581376. Its totient is φ = 1130496.

The previous prime is 4042729. The next prime is 4042757. The reversal of 4042752 is 2572404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85993 + ... + 86039.

Almost surely, 24042752 is an apocalyptic number.

4042752 is a gapful number since it is divisible by the number (42) 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 4042752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6290688).

4042752 is an abundant number, since it is smaller than the sum of its proper divisors (8538624).

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

4042752 is an equidigital number, since it uses as much as digits as its factorization.

4042752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 4042752 is about 2010.6595932678. The cubic root of 4042752 is about 159.3036403336.

The spelling of 4042752 in words is "four million, forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 128 141 168 188 192 224 256 282 329 336 376 384 448 512 564 658 672 752 768 896 987 1024 1128 1316 1344 1504 1536 1792 1974 2048 2256 2632 2688 3008 3072 3584 3948 4096 4512 5264 5376 6016 6144 7168 7896 9024 10528 10752 12032 12288 14336 15792 18048 21056 21504 24064 28672 31584 36096 42112 43008 48128 63168 72192 84224 86016 96256 126336 144384 168448 192512 252672 288768 336896 505344 577536 673792 1010688 1347584 2021376 4042752