Search a number
-
+
49850570240 = 29583234613
BaseRepresentation
bin101110011011010100…
…110101011000000000
311202200011122100112022
4232123110311120000
51304043221221430
634522342421012
73413225566322
oct563324653000
9152604570468
1049850570240
111a161390289
1297b2a31768
134915b10553
1425ac953612
15146b6c94e5
hexb9b535600

49850570240 has 80 divisors (see below), whose sum is σ = 120965101488. Its totient is φ = 19699900416.

The previous prime is 49850570219. The next prime is 49850570251. The reversal of 49850570240 is 4207505894.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 49850570191 and 49850570200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95174 + ... + 329786.

Almost surely, 249850570240 is an apocalyptic number.

49850570240 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 49850570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60482550744).

49850570240 is an abundant number, since it is smaller than the sum of its proper divisors (71114531248).

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

49850570240 is an equidigital number, since it uses as much as digits as its factorization.

49850570240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234719 (or 234703 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 49850570240 in words is "forty-nine billion, eight hundred fifty million, five hundred seventy thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 256 320 332 415 512 640 664 830 1280 1328 1660 2560 2656 3320 5312 6640 10624 13280 21248 26560 42496 53120 106240 212480 234613 469226 938452 1173065 1876904 2346130 3753808 4692260 7507616 9384520 15015232 18769040 19472879 30030464 37538080 38945758 60060928 75076160 77891516 97364395 120121856 150152320 155783032 194728790 300304640 311566064 389457580 600609280 623132128 778915160 1246264256 1557830320 2492528512 3115660640 4985057024 6231321280 9970114048 12462642560 24925285120 49850570240