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52126074 = 232711213263
BaseRepresentation
bin1100011011011…
…0000101111010
310122002021112100
43012312011322
5101321013244
65101124230
71202031030
oct306660572
9118067470
1052126074
1127473100
1215559676
13aa51040
146ccc550
154899b69
hex31b617a

52126074 has 144 divisors (see below), whose sum is σ = 153369216. Its totient is φ = 12450240.

The previous prime is 52126069. The next prime is 52126099. The reversal of 52126074 is 47062125.

52126074 is a `hidden beast` number, since 52 + 1 + 2 + 607 + 4 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 198067 + ... + 198329.

It is an arithmetic number, because the mean of its divisors is an integer number (1065064).

Almost surely, 252126074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52126074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76684608).

52126074 is an abundant number, since it is smaller than the sum of its proper divisors (101243142).

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

52126074 is a wasteful number, since it uses less digits than its factorization.

52126074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 52126074 is about 7219.8389178707. The cubic root of 52126074 is about 373.5525213368.

Adding to 52126074 its reverse (47062125), we get a palindrome (99188199).

The spelling of 52126074 in words is "fifty-two million, one hundred twenty-six thousand, seventy-four".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 121 126 143 154 182 198 231 234 242 263 273 286 363 429 462 526 546 693 726 789 819 847 858 1001 1089 1287 1386 1573 1578 1638 1694 1841 2002 2178 2367 2541 2574 2893 3003 3146 3419 3682 4719 4734 5082 5523 5786 6006 6838 7623 8679 9009 9438 10257 11011 11046 14157 15246 16569 17358 18018 20251 20514 22022 23933 26037 28314 30771 31823 33033 33138 37609 40502 47866 52074 60753 61542 63646 66066 71799 75218 95469 99099 112827 121506 143598 182259 190938 198198 215397 222761 225654 263263 286407 338481 364518 413699 430794 445522 526526 572814 668283 676962 789789 827398 1241097 1336566 1579578 2004849 2369367 2482194 2895893 3723291 4009698 4738734 5791786 7446582 8687679 17375358 26063037 52126074