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6148992 = 27367239
BaseRepresentation
bin10111011101001110000000
3102120101211110
4113131032000
53033231432
6335443320
7103160043
oct27351600
912511743
106148992
11351a913
122086540
131373a75
14b60c5a
15816dcc
hex5dd380

6148992 has 64 divisors (see below), whose sum is σ = 16646400. Its totient is φ = 2010624.

The previous prime is 6148991. The next prime is 6148999. The reversal of 6148992 is 2998416.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 6148992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6148991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25609 + ... + 25847.

It is an arithmetic number, because the mean of its divisors is an integer number (260100).

Almost surely, 26148992 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 6148992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8323200).

6148992 is an abundant number, since it is smaller than the sum of its proper divisors (10497408).

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

6148992 is a wasteful number, since it uses less digits than its factorization.

6148992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 311 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 6148992 is about 2479.7161127839. The cubic root of 6148992 is about 183.2038696639.

It can be divided in two parts, 6148 and 992, that added together give a triangular number (7140 = T119).

The spelling of 6148992 in words is "six million, one hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 239 268 384 402 478 536 717 804 956 1072 1434 1608 1912 2144 2868 3216 3824 4288 5736 6432 7648 8576 11472 12864 15296 16013 22944 25728 30592 32026 45888 48039 64052 91776 96078 128104 192156 256208 384312 512416 768624 1024832 1537248 2049664 3074496 6148992