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52398738 = 234732341
BaseRepresentation
bin1100011111100…
…0101010010010
310122121010120000
43013320222102
5101403224423
65111030430
71204245000
oct307705222
9118533500
1052398738
1127639a47
121566b416
13ab18192
146d5da70
154900843
hex31f8a92

52398738 has 160 divisors (see below), whose sum is σ = 146361600. Its totient is φ = 13970880.

The previous prime is 52398727. The next prime is 52398739. The reversal of 52398738 is 83789325.

52398738 is a `hidden beast` number, since 523 + 98 + 7 + 38 = 666.

52398738 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 52398693 and 52398702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52398739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1277998 + ... + 1278038.

It is an arithmetic number, because the mean of its divisors is an integer number (914760).

Almost surely, 252398738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52398738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73180800).

52398738 is an abundant number, since it is smaller than the sum of its proper divisors (93962862).

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

52398738 is a wasteful number, since it uses less digits than its factorization.

52398738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 76 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 52398738 is about 7238.6972584851. The cubic root of 52398738 is about 374.2027221293.

The spelling of 52398738 in words is "fifty-two million, three hundred ninety-eight thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 41 42 46 49 54 63 69 81 82 98 123 126 138 147 161 162 189 207 246 287 294 322 343 369 378 414 441 483 567 574 621 686 738 861 882 943 966 1029 1107 1127 1134 1242 1323 1449 1722 1863 1886 2009 2058 2214 2254 2583 2646 2829 2898 3087 3321 3381 3726 3969 4018 4347 5166 5658 6027 6174 6601 6642 6762 7749 7889 7938 8487 8694 9261 10143 12054 13041 13202 14063 15498 15778 16974 18081 18522 19803 20286 23247 23667 25461 26082 27783 28126 30429 36162 39606 42189 46207 46494 47334 50922 54243 55566 59409 60858 71001 76383 84378 91287 92414 108486 118818 126567 138621 142002 152766 162729 178227 182574 213003 253134 277242 323449 325458 356454 379701 415863 426006 534681 639009 646898 759402 831726 970347 1069362 1139103 1247589 1278018 1940694 2278206 2495178 2911041 3742767 5822082 7485534 8733123 17466246 26199369 52398738