Search a number
-
+
497036960 = 25571923357
BaseRepresentation
bin11101101000000…
…010111010100000
31021122021002112022
4131220002322200
52004220140320
6121153121012
715213513230
oct3550027240
91248232468
10497036960
11235623252
1211a559168
137bc88514
144a023cc0
152d980325
hex1da02ea0

497036960 has 96 divisors (see below), whose sum is σ = 1412691840. Its totient is φ = 161436672.

The previous prime is 497036909. The next prime is 497036971. The reversal of 497036960 is 69630794.

It is a super-4 number, since 4×4970369604 (a number of 36 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

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, 9602 + ... + 32958.

It is an arithmetic number, because the mean of its divisors is an integer number (14715540).

Almost surely, 2497036960 is an apocalyptic number.

497036960 is a gapful number since it is divisible by the number (40) 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 497036960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706345920).

497036960 is an abundant number, since it is smaller than the sum of its proper divisors (915654880).

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

497036960 is a wasteful number, since it uses less digits than its factorization.

497036960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23398 (or 23390 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 44.

The square root of 497036960 is about 22294.3257354870. The cubic root of 497036960 is about 792.1295744194.

The spelling of 497036960 in words is "four hundred ninety-seven million, thirty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 70 76 80 95 112 133 140 152 160 190 224 266 280 304 380 532 560 608 665 760 1064 1120 1330 1520 2128 2660 3040 4256 5320 10640 21280 23357 46714 93428 116785 163499 186856 233570 326998 373712 443783 467140 653996 747424 817495 887566 934280 1307992 1634990 1775132 1868560 2218915 2615984 3106481 3269980 3550264 3737120 4437830 5231968 6212962 6539960 7100528 8875660 12425924 13079920 14201056 15532405 17751320 24851848 26159840 31064810 35502640 49703696 62129620 71005280 99407392 124259240 248518480 497036960