Search a number
-
+
497987640 = 233254133739
BaseRepresentation
bin11101101011101…
…011000000111000
31021201001101121200
4131223223000320
52004441101030
6121225334200
715224553003
oct3553530070
91251041550
10497987640
11236112537
1211a937360
137c22c157
144a1d053a
152dabbd60
hex1daeb038

497987640 has 96 divisors (see below), whose sum is σ = 1657983600. Its totient is φ = 129553920.

The previous prime is 497987597. The next prime is 497987683. The reversal of 497987640 is 46789794.

It is a happy number.

497987640 is a `hidden beast` number, since 497 + 98 + 7 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (497987597) and next prime (497987683).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2110 + ... + 31629.

Almost surely, 2497987640 is an apocalyptic number.

497987640 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 497987640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828991800).

497987640 is an abundant number, since it is smaller than the sum of its proper divisors (1159995960).

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

497987640 is a wasteful number, since it uses less digits than its factorization.

497987640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33797 (or 33790 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 497987640 is about 22315.6366702812. The cubic root of 497987640 is about 792.6342868038.

The spelling of 497987640 in words is "four hundred ninety-seven million, nine hundred eighty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 14760 33739 67478 101217 134956 168695 202434 269912 303651 337390 404868 506085 607302 674780 809736 1012170 1214604 1349560 1383299 1518255 2024340 2429208 2766598 3036510 4048680 4149897 5533196 6073020 6916495 8299794 11066392 12146040 12449691 13832990 16599588 20749485 24899382 27665980 33199176 41498970 49798764 55331960 62248455 82997940 99597528 124496910 165995880 248993820 497987640