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52726464 = 263471453
BaseRepresentation
bin1100100100100…
…0101011000000
310200012210010000
43021020223000
5101444221324
65122040000
71210111320
oct311105300
9120183100
1052726464
112784319a
12157a9000
13ac013bb
147007280
1549679c9
hex3248ac0

52726464 has 140 divisors (see below), whose sum is σ = 178748944. Its totient is φ = 15054336.

The previous prime is 52726439. The next prime is 52726477. The reversal of 52726464 is 46462725.

52726464 is a `hidden beast` number, since 5 + 2 + 7 + 2 + 646 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35562 + ... + 37014.

Almost surely, 252726464 is an apocalyptic number.

52726464 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 52726464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89374472).

52726464 is an abundant number, since it is smaller than the sum of its proper divisors (126022480).

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

52726464 is a wasteful number, since it uses less digits than its factorization.

52726464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1465 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 52726464 is about 7261.2990573313. The cubic root of 52726464 is about 374.9812470622.

The spelling of 52726464 in words is "fifty-two million, seven hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1453 1512 1728 2016 2268 2592 2906 3024 4032 4359 4536 5184 5812 6048 8718 9072 10171 11624 12096 13077 17436 18144 20342 23248 26154 30513 34872 36288 39231 40684 46496 52308 61026 69744 78462 81368 91539 92992 104616 117693 122052 139488 156924 162736 183078 209232 235386 244104 274617 278976 313848 325472 366156 418464 470772 488208 549234 627696 650944 732312 823851 836928 941544 976416 1098468 1255392 1464624 1647702 1883088 1952832 2196936 2510784 2929248 3295404 3766176 4393872 5858496 6590808 7532352 8787744 13181616 17575488 26363232 52726464