Search a number
-
+
52619648 = 273189149
BaseRepresentation
bin1100100010111…
…0100110000000
310200000100120212
43020232212000
5101432312043
65115453252
71206155024
oct310564600
9120010525
1052619648
112777aa14
1215757228
13ab948b3
146dba384
154946018
hex322e980

52619648 has 64 divisors (see below), whose sum is σ = 110160000. Its totient is φ = 25006080.

The previous prime is 52619647. The next prime is 52619663. The reversal of 52619648 is 84691625.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52619647) 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, 353078 + ... + 353226.

It is an arithmetic number, because the mean of its divisors is an integer number (1721250).

Almost surely, 252619648 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 52619648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55080000).

52619648 is an abundant number, since it is smaller than the sum of its proper divisors (57540352).

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

52619648 is a wasteful number, since it uses less digits than its factorization.

52619648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 271 counting only the distinct ones).

The product of its digits is 103680, while the sum is 41.

The square root of 52619648 is about 7253.9401706934. The cubic root of 52619648 is about 374.7278570682.

The spelling of 52619648 in words is "fifty-two million, six hundred nineteen thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 89 124 128 149 178 248 298 356 496 596 712 992 1192 1424 1984 2384 2759 2848 3968 4619 4768 5518 5696 9238 9536 11036 11392 13261 18476 19072 22072 26522 36952 44144 53044 73904 88288 106088 147808 176576 212176 295616 353152 411091 424352 591232 822182 848704 1644364 1697408 3288728 6577456 13154912 26309824 52619648