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52228416 = 26319103139
BaseRepresentation
bin1100011100111…
…1000101000000
310122021110220210
43013033011000
5101332302131
65103234120
71202635302
oct307170500
9118243823
1052228416
1127532a89
12155a8940
13aa887b6
146d17972
1548ba146
hex31cf140

52228416 has 112 divisors (see below), whose sum is σ = 147929600. Its totient is φ = 16215552.

The previous prime is 52228411. The next prime is 52228417. The reversal of 52228416 is 61482225.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52228411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375675 + ... + 375813.

It is an arithmetic number, because the mean of its divisors is an integer number (1320800).

Almost surely, 252228416 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 52228416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73964800).

52228416 is an abundant number, since it is smaller than the sum of its proper divisors (95701184).

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

52228416 is a wasteful number, since it uses less digits than its factorization.

52228416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 266 counting only the distinct ones).

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

The square root of 52228416 is about 7226.9229966840. The cubic root of 52228416 is about 373.7968336147.

The spelling of 52228416 in words is "fifty-two million, two hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 103 114 139 152 192 206 228 278 304 309 412 417 456 556 608 618 824 834 912 1112 1216 1236 1648 1668 1824 1957 2224 2472 2641 3296 3336 3648 3914 4448 4944 5282 5871 6592 6672 7828 7923 8896 9888 10564 11742 13344 14317 15656 15846 19776 21128 23484 26688 28634 31312 31692 42256 42951 46968 57268 62624 63384 84512 85902 93936 114536 125248 126768 169024 171804 187872 229072 253536 272023 343608 375744 458144 507072 544046 687216 816069 916288 1088092 1374432 1632138 2176184 2748864 3264276 4352368 6528552 8704736 13057104 17409472 26114208 52228416