Search a number
-
+
497544015424 = 2637223832
BaseRepresentation
bin1110011110101111110…
…11110010111001000000
31202120020200211202202211
413033113323302321000
531122432231443144
61020322450551504
750642414231431
oct7172773627100
91676220752684
10497544015424
11182009697985
1280516598594
1337bc238ca71
141a11cd8d488
15ce201ee034
hex73d7ef2e40

497544015424 has 63 divisors (see below), whose sum is σ = 1015145253297. Its totient is φ = 241946866944.

The previous prime is 497544015421. The next prime is 497544015433. The reversal of 497544015424 is 424510445794.

The square root of 497544015424 is 705368.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 445209217600 + 52334797824 = 667240^2 + 228768^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (497544015421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 208787737 + ... + 208790119.

It is an arithmetic number, because the mean of its divisors is an integer number (16113416719).

Almost surely, 2497544015424 is an apocalyptic number.

497544015424 is the 705368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 497544015424

497544015424 is an abundant number, since it is smaller than the sum of its proper divisors (517601237873).

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

497544015424 is an frugal number, since it uses more digits than its factorization.

497544015424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 49.

Multiplying 497544015424 by its sum of digits (49), we get a square (24379656755776 = 49375762).

The spelling of 497544015424 in words is "four hundred ninety-seven billion, five hundred forty-four million, fifteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 1369 2368 2383 2738 4766 5476 9532 10952 19064 21904 38128 43808 76256 87616 88171 152512 176342 352684 705368 1410736 2821472 3262327 5642944 5678689 6524654 11357378 13049308 22714756 26098616 45429512 52197232 90859024 104394464 181718048 208788928 210111493 363436096 420222986 840445972 1680891944 3361783888 6723567776 7774125241 13447135552 15548250482 31096500964 62193001928 124386003856 248772007712 497544015424