Search a number
-
+
27452964 = 22371123773
BaseRepresentation
bin110100010111…
…0011000100100
31220122202101110
41220232120210
524011443324
62420225020
7452226540
oct150563044
956582343
1027452964
1114550900
12923b170
1358c2876
143908a20
152624329
hex1a2e624

27452964 has 144 divisors (see below), whose sum is σ = 83775104. Its totient is φ = 6842880.

The previous prime is 27452959. The next prime is 27452969. The reversal of 27452964 is 46925472.

It is an interprime number because it is at equal distance from previous prime (27452959) and next prime (27452969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27452969) 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 47 ways as a sum of consecutive naturals, for example, 376032 + ... + 376104.

Almost surely, 227452964 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 27452964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41887552).

27452964 is an abundant number, since it is smaller than the sum of its proper divisors (56322140).

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

27452964 is a wasteful number, since it uses less digits than its factorization.

27452964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 133 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 27452964 is about 5239.5576149137. The cubic root of 27452964 is about 301.6683492813.

The spelling of 27452964 in words is "twenty-seven million, four hundred fifty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 37 42 44 66 73 74 77 84 111 121 132 146 148 154 219 222 231 242 259 292 308 363 407 438 444 462 484 511 518 726 777 803 814 847 876 924 1022 1036 1221 1452 1533 1554 1606 1628 1694 2044 2409 2442 2541 2701 2849 3066 3108 3212 3388 4477 4818 4884 5082 5402 5621 5698 6132 8103 8547 8833 8954 9636 10164 10804 11242 11396 13431 16206 16863 17094 17666 17908 18907 22484 26499 26862 29711 31339 32412 33726 34188 35332 37814 52998 53724 56721 59422 61831 62678 67452 75628 89133 94017 105996 113442 118844 123662 125356 178266 185493 188034 207977 226884 247324 326821 356532 370986 376068 415954 623931 653642 741972 831908 980463 1247862 1307284 1960926 2287747 2495724 3921852 4575494 6863241 9150988 13726482 27452964