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49622480 = 2452973293
BaseRepresentation
bin1011110101001…
…0110111010000
310110101002020122
42331102313100
5100200404410
64531325412
71141532645
oct275226720
9113332218
1049622480
1126013116
1214750868
13a38561b
146839dcc
154552e55
hex2f52dd0

49622480 has 80 divisors (see below), whose sum is σ = 121398480. Its totient is φ = 18837504.

The previous prime is 49622479. The next prime is 49622491. The reversal of 49622480 is 8422694.

It can be written as a sum of positive squares in 8 ways, for example, as 3055504 + 46566976 = 1748^2 + 6824^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 49622480.

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, 169214 + ... + 169506.

It is an arithmetic number, because the mean of its divisors is an integer number (1517481).

Almost surely, 249622480 is an apocalyptic number.

49622480 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 49622480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60699240).

49622480 is an abundant number, since it is smaller than the sum of its proper divisors (71776000).

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

49622480 is a wasteful number, since it uses less digits than its factorization.

49622480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 49622480 is about 7044.3225366248. The cubic root of 49622480 is about 367.4736094088.

The spelling of 49622480 in words is "forty-nine million, six hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 73 80 116 145 146 232 290 292 293 365 464 580 584 586 730 1160 1168 1172 1460 1465 2117 2320 2344 2920 2930 4234 4688 5840 5860 8468 8497 10585 11720 16936 16994 21170 21389 23440 33872 33988 42340 42485 42778 67976 84680 84970 85556 106945 135952 169360 169940 171112 213890 339880 342224 427780 620281 679760 855560 1240562 1711120 2481124 3101405 4962248 6202810 9924496 12405620 24811240 49622480