Search a number
-
+
4146048 = 27325961
BaseRepresentation
bin1111110100001110000000
321210122022100
433310032000
52030133143
6224510400
750145414
oct17641600
97718270
104146048
112381a95
12147b400
13b221aa
1479cd44
1556d6d3
hex3f4380

4146048 has 96 divisors (see below), whose sum is σ = 12331800. Its totient is φ = 1336320.

The previous prime is 4146013. The next prime is 4146053. The reversal of 4146048 is 8406414.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67938 + ... + 67998.

Almost surely, 24146048 is an apocalyptic number.

4146048 is a gapful number since it is divisible by the number (48) 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 4146048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6165900).

4146048 is an abundant number, since it is smaller than the sum of its proper divisors (8185752).

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

4146048 is a wasteful number, since it uses less digits than its factorization.

4146048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4146048 is about 2036.1846674602. The cubic root of 4146048 is about 160.6490303543.

The spelling of 4146048 in words is "four million, one hundred forty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 61 64 72 96 118 122 128 144 177 183 192 236 244 288 354 366 384 472 488 531 549 576 708 732 944 976 1062 1098 1152 1416 1464 1888 1952 2124 2196 2832 2928 3599 3776 3904 4248 4392 5664 5856 7198 7552 7808 8496 8784 10797 11328 11712 14396 16992 17568 21594 22656 23424 28792 32391 33984 35136 43188 57584 64782 67968 70272 86376 115168 129564 172752 230336 259128 345504 460672 518256 691008 1036512 1382016 2073024 4146048