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5461248 = 28313547
BaseRepresentation
bin10100110101010100000000
3101021110102110
4110311110000
52344224443
6313015320
764264002
oct24652400
911243373
105461248
1130a0131
1219b4540
131192a10
14a22372
1572d233
hex535500

5461248 has 72 divisors (see below), whose sum is σ = 15681568. Its totient is φ = 1677312.

The previous prime is 5461243. The next prime is 5461271. The reversal of 5461248 is 8421645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5461243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9711 + ... + 10257.

Almost surely, 25461248 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 5461248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7840784).

5461248 is an abundant number, since it is smaller than the sum of its proper divisors (10220320).

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

5461248 is a wasteful number, since it uses less digits than its factorization.

5461248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 565 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 5461248 is about 2336.9313211988. The cubic root of 5461248 is about 176.1018694009.

The spelling of 5461248 in words is "five million, four hundred sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 547 624 768 832 1094 1248 1641 1664 2188 2496 3282 3328 4376 4992 6564 7111 8752 9984 13128 14222 17504 21333 26256 28444 35008 42666 52512 56888 70016 85332 105024 113776 140032 170664 210048 227552 341328 420096 455104 682656 910208 1365312 1820416 2730624 5461248