Search a number
-
+
497500704 = 2535137467
BaseRepresentation
bin11101101001110…
…100001000100000
31021200010122200000
4131221310020200
52004330010304
6121211100000
715220454241
oct3551641040
91250118600
10497500704
1123590a708
1211a741600
137c0bb61c
144a104cc8
152da22939
hex1da74220

497500704 has 144 divisors (see below), whose sum is σ = 1481040288. Its totient is φ = 164270592.

The previous prime is 497500657. The next prime is 497500709. The reversal of 497500704 is 407005794.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (497500709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1065079 + ... + 1065545.

It is an arithmetic number, because the mean of its divisors is an integer number (10285002).

Almost surely, 2497500704 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 497500704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740520144).

497500704 is an abundant number, since it is smaller than the sum of its proper divisors (983539584).

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

497500704 is a wasteful number, since it uses less digits than its factorization.

497500704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 497500704 is about 22304.7238046114. The cubic root of 497500704 is about 792.3758546626.

The spelling of 497500704 in words is "four hundred ninety-seven million, five hundred thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 137 144 162 216 243 274 288 324 411 432 467 486 548 648 822 864 934 972 1096 1233 1296 1401 1644 1868 1944 2192 2466 2592 2802 3288 3699 3736 3888 4203 4384 4932 5604 6576 7398 7472 7776 8406 9864 11097 11208 12609 13152 14796 14944 16812 19728 22194 22416 25218 29592 33291 33624 37827 39456 44388 44832 50436 59184 63979 66582 67248 75654 88776 100872 113481 118368 127958 133164 134496 151308 177552 191937 201744 226962 255916 266328 302616 355104 383874 403488 453924 511832 532656 575811 605232 767748 907848 1023664 1065312 1151622 1210464 1535496 1727433 1815696 2047328 2303244 3070992 3454866 3631392 4606488 5182299 6141984 6909732 9212976 10364598 13819464 15546897 18425952 20729196 27638928 31093794 41458392 55277856 62187588 82916784 124375176 165833568 248750352 497500704