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49868460 = 2235531331
BaseRepresentation
bin1011111000111…
…0111010101100
310110211120200000
42332032322230
5100231242320
64540504300
71143606045
oct276167254
9113746600
1049868460
1126170a04
121484b090
13a440585
1468a18cc
1545a0c90
hex2f8eeac

49868460 has 144 divisors (see below), whose sum is σ = 162419712. Its totient is φ = 12830400.

The previous prime is 49868453. The next prime is 49868471. The reversal of 49868460 is 6486894.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150495 + ... + 150825.

Almost surely, 249868460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49868460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81209856).

49868460 is an abundant number, since it is smaller than the sum of its proper divisors (112551252).

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

49868460 is a wasteful number, since it uses less digits than its factorization.

49868460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 49868460 is about 7061.7604037520. The cubic root of 49868460 is about 368.0798011406.

The spelling of 49868460 in words is "forty-nine million, eight hundred sixty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 243 270 279 310 324 331 372 405 465 486 540 558 620 662 810 837 930 972 993 1116 1215 1324 1395 1620 1655 1674 1860 1986 2430 2511 2790 2979 3310 3348 3972 4185 4860 4965 5022 5580 5958 6620 7533 8370 8937 9930 10044 10261 11916 12555 14895 15066 16740 17874 19860 20522 25110 26811 29790 30132 30783 35748 37665 41044 44685 50220 51305 53622 59580 61566 75330 80433 89370 92349 102610 107244 123132 134055 150660 153915 160866 178740 184698 205220 268110 277047 307830 321732 369396 402165 461745 536220 554094 615660 804330 831141 923490 1108188 1385235 1608660 1662282 1846980 2493423 2770470 3324564 4155705 4986846 5540940 8311410 9973692 12467115 16622820 24934230 49868460