Search a number
-
+
49641417240 = 23353113344467
BaseRepresentation
bin101110001110110110…
…111110101000011000
311202010121002021112220
4232032312332220120
51303131200322430
634445511504040
73405106040652
oct561666765030
9152117067486
1049641417240
111a064316568
129754988020
1348b16a008c
14258cc6b6d2
151458163110
hexb8edbea18

49641417240 has 64 divisors (see below), whose sum is σ = 153728271360. Its totient is φ = 12810687360.

The previous prime is 49641417229. The next prime is 49641417251. The reversal of 49641417240 is 4271414694.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (49641417229) and next prime (49641417251).

It is a junction number, because it is equal to n+sod(n) for n = 49641417192 and 49641417201.

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, 6668514 + ... + 6675953.

It is an arithmetic number, because the mean of its divisors is an integer number (2402004240).

Almost surely, 249641417240 is an apocalyptic number.

49641417240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49641417240 is an abundant number, since it is smaller than the sum of its proper divisors (104086854120).

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

49641417240 is a wasteful number, since it uses less digits than its factorization.

49641417240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13344512 (or 13344508 counting only the distinct ones).

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

The spelling of 49641417240 in words is "forty-nine billion, six hundred forty-one million, four hundred seventeen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 13344467 26688934 40033401 53377868 66722335 80066802 106755736 133444670 160133604 200167005 266889340 320267208 400334010 413678477 533778680 800668020 827356954 1241035431 1601336040 1654713908 2068392385 2482070862 3309427816 4136784770 4964141724 6205177155 8273569540 9928283448 12410354310 16547139080 24820708620 49641417240