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49246857680 = 2454325772
BaseRepresentation
bin101101110111010101…
…110110100111010000
311201010002122120120212
4231313111312213100
51301324143421210
634342415023252
73362245245356
oct556725664720
9151102576525
1049246857680
1119981627089
12966480ab28
13484aa14b97
1425526c17d6
1514336c6805
hexb775769d0

49246857680 has 90 divisors (see below), whose sum is σ = 117427147686. Its totient is φ = 19207286784.

The previous prime is 49246857679. The next prime is 49246857683. The reversal of 49246857680 is 8675864294.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 35926927936 + 13319929744 = 189544^2 + 115412^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49246857683) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 85349552 + ... + 85350128.

Almost surely, 249246857680 is an apocalyptic number.

49246857680 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 49246857680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58713573843).

49246857680 is an abundant number, since it is smaller than the sum of its proper divisors (68180290006).

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

49246857680 is an frugal number, since it uses more digits than its factorization.

49246857680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 59.

The spelling of 49246857680 in words is "forty-nine billion, two hundred forty-six million, eight hundred fifty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 577 688 860 1154 1720 1849 2308 2885 3440 3698 4616 5770 7396 9232 9245 11540 14792 18490 23080 24811 29584 36980 46160 49622 73960 99244 124055 147920 198488 248110 332929 396976 496220 665858 992440 1066873 1331716 1664645 1984880 2133746 2663432 3329290 4267492 5326864 5334365 6658580 8534984 10668730 13317160 14315947 17069968 21337460 26634320 28631894 42674920 57263788 71579735 85349840 114527576 143159470 229055152 286318940 572637880 615585721 1145275760 1231171442 2462342884 3077928605 4924685768 6155857210 9849371536 12311714420 24623428840 49246857680