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5260464 = 24361141
BaseRepresentation
bin10100000100010010110000
3100220021000000
4110010102300
52321313324
6304430000
762466426
oct24042260
910807000
105260464
112a732a0
121918300
131122501
149ad116
156dd9c9
hex5044b0

5260464 has 140 divisors (see below), whose sum is σ = 17077032. Its totient is φ = 1555200.

The previous prime is 5260459. The next prime is 5260469. The reversal of 5260464 is 4640625.

5260464 = 3382 + 3392 + ... + 3782.

It is a happy number.

5260464 is a `hidden beast` number, since 52 + 604 + 6 + 4 = 666.

5260464 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (5260459) and next prime (5260469).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5260469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 128284 + ... + 128324.

Almost surely, 25260464 is an apocalyptic number.

5260464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5260464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8538516).

5260464 is an abundant number, since it is smaller than the sum of its proper divisors (11816568).

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

5260464 is a wasteful number, since it uses less digits than its factorization.

5260464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5260464 is about 2293.5701428123. The cubic root of 5260464 is about 173.9167259075.

It can be divided in two parts, 52 and 60464, that added together give a square (60516 = 2462).

The spelling of 5260464 in words is "five million, two hundred sixty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 41 44 48 54 66 72 81 82 88 99 108 123 132 144 162 164 176 198 216 243 246 264 297 324 328 369 396 432 451 486 492 528 594 648 656 729 738 792 891 902 972 984 1107 1188 1296 1353 1458 1476 1584 1782 1804 1944 1968 2214 2376 2673 2706 2916 2952 3321 3564 3608 3888 4059 4428 4752 5346 5412 5832 5904 6642 7128 7216 8019 8118 8856 9963 10692 10824 11664 12177 13284 14256 16038 16236 17712 19926 21384 21648 24354 26568 29889 32076 32472 36531 39852 42768 48708 53136 59778 64152 64944 73062 79704 97416 109593 119556 128304 146124 159408 194832 219186 239112 292248 328779 438372 478224 584496 657558 876744 1315116 1753488 2630232 5260464