Search a number
-
+
5461488 = 2432172397
BaseRepresentation
bin10100110101010111110000
3101021110202100
4110311113300
52344231423
6313020400
764264464
oct24652760
911243670
105461488
1130a032a
1219b4700
131192b66
14a224a4
1572d343
hex5355f0

5461488 has 120 divisors (see below), whose sum is σ = 17061408. Its totient is φ = 1622016.

The previous prime is 5461481. The next prime is 5461499. The reversal of 5461488 is 8841645.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5461481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56256 + ... + 56352.

Almost surely, 25461488 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 5461488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530704).

5461488 is an abundant number, since it is smaller than the sum of its proper divisors (11599920).

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

5461488 is a wasteful number, since it uses less digits than its factorization.

5461488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 142 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 5461488 is about 2336.9826700256. The cubic root of 5461488 is about 176.1044490207.

The spelling of 5461488 in words is "five million, four hundred sixty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 23 24 34 36 46 48 51 68 69 72 92 97 102 136 138 144 153 184 194 204 207 272 276 291 306 368 388 391 408 414 552 582 612 776 782 816 828 873 1104 1164 1173 1224 1552 1564 1649 1656 1746 2231 2328 2346 2448 3128 3298 3312 3492 3519 4462 4656 4692 4947 6256 6596 6693 6984 7038 8924 9384 9894 13192 13386 13968 14076 14841 17848 18768 19788 20079 26384 26772 28152 29682 35696 37927 39576 40158 53544 56304 59364 75854 79152 80316 107088 113781 118728 151708 160632 227562 237456 303416 321264 341343 455124 606832 682686 910248 1365372 1820496 2730744 5461488