Search a number
-
+
5463936 = 27341731
BaseRepresentation
bin10100110101111110000000
3101021121010000
4110311332000
52344321221
6313040000
764304562
oct24657600
911247100
105463936
1130a2155
1219b6000
131193cca
14a23332
1572de26
hex535f80

5463936 has 160 divisors (see below), whose sum is σ = 17772480. Its totient is φ = 1658880.

The previous prime is 5463893. The next prime is 5463961. The reversal of 5463936 is 6393645.

It is a super-2 number, since 2×54639362 = 59709193224192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5463936.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 176241 + ... + 176271.

It is an arithmetic number, because the mean of its divisors is an integer number (111078).

Almost surely, 25463936 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 5463936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8886240).

5463936 is an abundant number, since it is smaller than the sum of its proper divisors (12308544).

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

5463936 is a wasteful number, since it uses less digits than its factorization.

5463936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 53 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 5463936 is about 2337.5063636277. The cubic root of 5463936 is about 176.1307568264.

The spelling of 5463936 in words is "five million, four hundred sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 31 32 34 36 48 51 54 62 64 68 72 81 93 96 102 108 124 128 136 144 153 162 186 192 204 216 248 272 279 288 306 324 372 384 408 432 459 496 527 544 558 576 612 648 744 816 837 864 918 992 1054 1088 1116 1152 1224 1296 1377 1488 1581 1632 1674 1728 1836 1984 2108 2176 2232 2448 2511 2592 2754 2976 3162 3264 3348 3456 3672 3968 4216 4464 4743 4896 5022 5184 5508 5952 6324 6528 6696 7344 8432 8928 9486 9792 10044 10368 11016 11904 12648 13392 14229 14688 16864 17856 18972 19584 20088 22032 25296 26784 28458 29376 33728 35712 37944 40176 42687 44064 50592 53568 56916 58752 67456 75888 80352 85374 88128 101184 107136 113832 151776 160704 170748 176256 202368 227664 303552 321408 341496 455328 607104 682992 910656 1365984 1821312 2731968 5463936