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4156048 = 241322953
BaseRepresentation
bin1111110110101010010000
321211011000201
433312222100
52030443143
6225024544
750216521
oct17665220
97734021
104156048
112389556
121485154
13b26900
147a2848
1557164d
hex3f6a90

4156048 has 60 divisors (see below), whose sum is σ = 9190260. Its totient is φ = 1817088.

The previous prime is 4156043. The next prime is 4156063. The reversal of 4156048 is 8406514.

It can be written as a sum of positive squares in 6 ways, for example, as 283024 + 3873024 = 532^2 + 1968^2 .

It is a super-3 number, since 3×41560483 (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4156043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78390 + ... + 78442.

It is an arithmetic number, because the mean of its divisors is an integer number (153171).

Almost surely, 24156048 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 4156048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4595130).

4156048 is an abundant number, since it is smaller than the sum of its proper divisors (5034212).

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

4156048 is a wasteful number, since it uses less digits than its factorization.

4156048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 4156048 is about 2038.6387615269. The cubic root of 4156048 is about 160.7780850145.

It can be divided in two parts, 415 and 6048, that multiplied together give a triangular number (2509920 = T2240).

The spelling of 4156048 in words is "four million, one hundred fifty-six thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 29 52 53 58 104 106 116 169 208 212 232 338 377 424 464 676 689 754 848 1352 1378 1508 1537 2704 2756 3016 3074 4901 5512 6032 6148 8957 9802 11024 12296 17914 19604 19981 24592 35828 39208 39962 71656 78416 79924 143312 159848 259753 319696 519506 1039012 2078024 4156048