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5461152 = 253163349
BaseRepresentation
bin10100110101010010100000
3101021110021220
4110311102200
52344224102
6313015040
764263504
oct24652240
911243256
105461152
1130a0054
1219b4480
131192968
14a22304
1572d1bc
hex5354a0

5461152 has 48 divisors (see below), whose sum is σ = 14464800. Its totient is φ = 1804032.

The previous prime is 5461139. The next prime is 5461153. The reversal of 5461152 is 2511645.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5461153) 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, 15474 + ... + 15822.

It is an arithmetic number, because the mean of its divisors is an integer number (301350).

Almost surely, 25461152 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 5461152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7232400).

5461152 is an abundant number, since it is smaller than the sum of its proper divisors (9003648).

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

5461152 is a wasteful number, since it uses less digits than its factorization.

5461152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 517 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 5461152 is about 2336.9107813522. The cubic root of 5461152 is about 176.1008375319.

Adding to 5461152 its reverse (2511645), we get a palindrome (7972797).

The spelling of 5461152 in words is "five million, four hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 326 349 489 652 698 978 1047 1304 1396 1956 2094 2608 2792 3912 4188 5216 5584 7824 8376 11168 15648 16752 33504 56887 113774 170661 227548 341322 455096 682644 910192 1365288 1820384 2730576 5461152