Search a number
-
+
497987152 = 241353199227
BaseRepresentation
bin11101101011101…
…010111001010000
31021201001100221121
4131223222321100
52004441042102
6121225332024
715224551405
oct3553527120
91251040847
10497987152
11236112133
1211a937014
137c22bb70
144a1d02ac
152dabbb37
hex1daeae50

497987152 has 80 divisors (see below), whose sum is σ = 1068681600. Its totient is φ = 223382016.

The previous prime is 497987143. The next prime is 497987167. The reversal of 497987152 is 251789794.

It is a super-2 number, since 2×4979871522 = 495982407114142208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 497987152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2193663 + ... + 2193889.

It is an arithmetic number, because the mean of its divisors is an integer number (13358520).

Almost surely, 2497987152 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 497987152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534340800).

497987152 is an abundant number, since it is smaller than the sum of its proper divisors (570694448).

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

497987152 is a wasteful number, since it uses less digits than its factorization.

497987152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 494 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 52.

The square root of 497987152 is about 22315.6257362414. The cubic root of 497987152 is about 792.6340278913.

The spelling of 497987152 in words is "four hundred ninety-seven million, nine hundred eighty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 199 208 212 227 398 424 454 689 796 848 908 1378 1592 1816 2587 2756 2951 3184 3632 5174 5512 5902 10348 10547 11024 11804 12031 20696 21094 23608 24062 41392 42188 45173 47216 48124 84376 90346 96248 137111 156403 168752 180692 192496 274222 312806 361384 548444 587249 625612 722768 1096888 1174498 1251224 2193776 2348996 2394169 2502448 4697992 4788338 9395984 9576676 19153352 31124197 38306704 62248394 124496788 248993576 497987152