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5466048 = 2637383
BaseRepresentation
bin10100110110011111000000
3101021201000020
4110312133000
52344403143
6313053440
764314000
oct24663700
911251006
105466048
1130a37a5
1219b7280
131194c63
14a24000
1572e883
hex5367c0

5466048 has 112 divisors (see below), whose sum is σ = 17068800. Its totient is φ = 1542912.

The previous prime is 5466029. The next prime is 5466059. The reversal of 5466048 is 8406645.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 65815 + ... + 65897.

It is an arithmetic number, because the mean of its divisors is an integer number (152400).

Almost surely, 25466048 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 5466048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8534400).

5466048 is an abundant number, since it is smaller than the sum of its proper divisors (11602752).

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

5466048 is an equidigital number, since it uses as much as digits as its factorization.

5466048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 5466048 is about 2337.9580834566. The cubic root of 5466048 is about 176.1534474436.

The spelling of 5466048 in words is "five million, four hundred sixty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 83 84 96 98 112 147 166 168 192 196 224 249 294 332 336 343 392 448 498 581 588 664 672 686 784 996 1029 1162 1176 1328 1344 1372 1568 1743 1992 2058 2324 2352 2656 2744 3136 3486 3984 4067 4116 4648 4704 5312 5488 6972 7968 8134 8232 9296 9408 10976 12201 13944 15936 16268 16464 18592 21952 24402 27888 28469 32536 32928 37184 48804 55776 56938 65072 65856 85407 97608 111552 113876 130144 170814 195216 227752 260288 341628 390432 455504 683256 780864 911008 1366512 1822016 2733024 5466048