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49208160 = 2535313307
BaseRepresentation
bin1011101110110…
…1101101100000
310102121000220110
42323231231200
5100044130120
64514411320
71135156011
oct273555540
9112530813
1049208160
112585a901
1214590b40
13a26bb71
14676d008
1544c02e0
hex2eedb60

49208160 has 96 divisors (see below), whose sum is σ = 160054272. Its totient is φ = 12695040.

The previous prime is 49208153. The next prime is 49208161. The reversal of 49208160 is 6180294.

49208160 is a nontrivial binomial coefficient, being equal to C(9921, 2).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×492081603 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49208161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13227 + ... + 16533.

It is an arithmetic number, because the mean of its divisors is an integer number (1667232).

Almost surely, 249208160 is an apocalyptic number.

49208160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49208160 is the 9920-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49208160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80027136).

49208160 is an abundant number, since it is smaller than the sum of its proper divisors (110846112).

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

49208160 is a wasteful number, since it uses less digits than its factorization.

49208160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 49208160 is about 7014.8528138515. The cubic root of 49208160 is about 366.4480165646.

The spelling of 49208160 in words is "forty-nine million, two hundred eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3307 3720 4960 6614 7440 9921 13228 14880 16535 19842 26456 33070 39684 49605 52912 66140 79368 99210 102517 105824 132280 158736 198420 205034 264560 307551 317472 396840 410068 512585 529120 615102 793680 820136 1025170 1230204 1537755 1587360 1640272 2050340 2460408 3075510 3280544 4100680 4920816 6151020 8201360 9841632 12302040 16402720 24604080 49208160