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5346576 = 2432107347
BaseRepresentation
bin10100011001010100010000
3101001122010100
4110121110100
52332042301
6310332400
763305454
oct24312420
911048110
105346576
113021a64
12195a100
131152771
149d2664
15709286
hex519510

5346576 has 60 divisors (see below), whose sum is σ = 15146352. Its totient is φ = 1760448.

The previous prime is 5346571. The next prime is 5346599. The reversal of 5346576 is 6756435.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5346576.

It is not an unprimeable number, because it can be changed into a prime (5346571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15235 + ... + 15581.

Almost surely, 25346576 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 5346576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7573176).

5346576 is an abundant number, since it is smaller than the sum of its proper divisors (9799776).

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

5346576 is a wasteful number, since it uses less digits than its factorization.

5346576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 459 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 5346576 is about 2312.2664206358. The cubic root of 5346576 is about 174.8605801122.

The spelling of 5346576 in words is "five million, three hundred forty-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 347 428 642 694 856 963 1041 1284 1388 1712 1926 2082 2568 2776 3123 3852 4164 5136 5552 6246 7704 8328 12492 15408 16656 24984 37129 49968 74258 111387 148516 222774 297032 334161 445548 594064 668322 891096 1336644 1782192 2673288 5346576