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49913360 = 2457317107
BaseRepresentation
bin1011111001100…
…1111000010000
310110220212020222
42332121320100
5100234211420
64541452212
71144154000
oct276317020
9113825228
1049913360
11261a1712
1214871068
13a457b43
1468b4000
1545ae225
hex2f99e10

49913360 has 160 divisors (see below), whose sum is σ = 144633600. Its totient is φ = 15955968.

The previous prime is 49913329. The next prime is 49913401. The reversal of 49913360 is 6331994.

49913360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 49913360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466427 + ... + 466533.

It is an arithmetic number, because the mean of its divisors is an integer number (903960).

Almost surely, 249913360 is an apocalyptic number.

49913360 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 49913360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72316800).

49913360 is an abundant number, since it is smaller than the sum of its proper divisors (94720240).

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

49913360 is a wasteful number, since it uses less digits than its factorization.

49913360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 35.

The square root of 49913360 is about 7064.9387824666. The cubic root of 49913360 is about 368.1902371789.

The spelling of 49913360 in words is "forty-nine million, nine hundred thirteen thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 49 56 68 70 80 85 98 107 112 119 136 140 170 196 214 238 245 272 280 340 343 392 428 476 490 535 560 595 680 686 749 784 833 856 952 980 1070 1190 1360 1372 1498 1666 1712 1715 1819 1904 1960 2140 2380 2744 2996 3332 3430 3638 3745 3920 4165 4280 4760 5243 5488 5831 5992 6664 6860 7276 7490 8330 8560 9095 9520 10486 11662 11984 12733 13328 13720 14552 14980 16660 18190 20972 23324 25466 26215 27440 29104 29155 29960 33320 36380 36701 41944 46648 50932 52430 58310 59920 63665 66640 72760 73402 83888 89131 93296 101864 104860 116620 127330 145520 146804 178262 183505 203728 209720 233240 254660 293608 356524 367010 419440 445655 466480 509320 587216 623917 713048 734020 891310 1018640 1247834 1426096 1468040 1782620 2495668 2936080 3119585 3565240 4991336 6239170 7130480 9982672 12478340 24956680 49913360