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497978560 = 26537137307
BaseRepresentation
bin11101101011101…
…000110011000000
31021201000221011101
4131223220303000
52004440303220
6121225224144
715224514352
oct3553506300
91251027141
10497978560
11236106732
1211a932054
137c227c91
144a1cb0d2
152dab930a
hex1dae8cc0

497978560 has 112 divisors (see below), whose sum is σ = 1230745824. Its totient is φ = 191766528.

The previous prime is 497978539. The next prime is 497978627. The reversal of 497978560 is 65879794.

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, 1621927 + ... + 1622233.

It is an arithmetic number, because the mean of its divisors is an integer number (10988802).

Almost surely, 2497978560 is an apocalyptic number.

497978560 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 497978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615372912).

497978560 is an abundant number, since it is smaller than the sum of its proper divisors (732767264).

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

497978560 is a wasteful number, since it uses less digits than its factorization.

497978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 55.

The square root of 497978560 is about 22315.4332245646. The cubic root of 497978560 is about 792.6294693060.

The spelling of 497978560 in words is "four hundred ninety-seven million, nine hundred seventy-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 137 148 160 185 274 296 307 320 370 548 592 614 685 740 1096 1184 1228 1370 1480 1535 2192 2368 2456 2740 2960 3070 4384 4912 5069 5480 5920 6140 8768 9824 10138 10960 11359 11840 12280 19648 20276 21920 22718 24560 25345 40552 42059 43840 45436 49120 50690 56795 81104 84118 90872 98240 101380 113590 162208 168236 181744 202760 210295 227180 324416 336472 363488 405520 420590 454360 672944 726976 811040 841180 908720 1345888 1556183 1622080 1682360 1817440 2691776 3112366 3364720 3634880 6224732 6729440 7780915 12449464 13458880 15561830 24898928 31123660 49797856 62247320 99595712 124494640 248989280 497978560