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497640048 = 243171793407
BaseRepresentation
bin11101101010010…
…110001001110000
31021200101201210220
4131222112021300
52004343440143
6121214053040
715221604423
oct3552261160
91250351726
10497640048
112359a5374
1211a7aa180
137c139b89
144a13d9ba
152da4dd83
hex1da96270

497640048 has 80 divisors (see below), whose sum is σ = 1369198080. Its totient is φ = 155204608.

The previous prime is 497640037. The next prime is 497640053. The reversal of 497640048 is 840046794.

It is a junction number, because it is equal to n+sod(n) for n = 497639991 and 497640009.

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, 144361 + ... + 147767.

It is an arithmetic number, because the mean of its divisors is an integer number (17114976).

Almost surely, 2497640048 is an apocalyptic number.

497640048 is a gapful number since it is divisible by the number (48) 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 497640048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684599040).

497640048 is an abundant number, since it is smaller than the sum of its proper divisors (871558032).

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

497640048 is a wasteful number, since it uses less digits than its factorization.

497640048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3614 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 497640048 is about 22307.8472291703. The cubic root of 497640048 is about 792.4498260917.

The spelling of 497640048 in words is "four hundred ninety-seven million, six hundred forty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 179 204 272 358 408 537 716 816 1074 1432 2148 2864 3043 3407 4296 6086 6814 8592 9129 10221 12172 13628 18258 20442 24344 27256 36516 40884 48688 54512 57919 73032 81768 115838 146064 163536 173757 231676 347514 463352 609853 695028 926704 1219706 1390056 1829559 2439412 2780112 3659118 4878824 7318236 9757648 10367501 14636472 20735002 29272944 31102503 41470004 62205006 82940008 124410012 165880016 248820024 497640048