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49316040 = 2334531491
BaseRepresentation
bin1011110000100…
…0000011001000
310102210111220000
42330020003020
5100111103130
64521003000
71136115354
oct274100310
9112714800
1049316040
1125923964
1214623460
13a2a8cb7
14679a464
1544e2260
hex2f080c8

49316040 has 160 divisors (see below), whose sum is σ = 171452160. Its totient is φ = 12700800.

The previous prime is 49316017. The next prime is 49316041. The reversal of 49316040 is 4061394.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 49315995 and 49316013.

It is not an unprimeable number, because it can be changed into a prime (49316041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100195 + ... + 100685.

It is an arithmetic number, because the mean of its divisors is an integer number (1071576).

Almost surely, 249316040 is an apocalyptic number.

49316040 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 49316040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85726080).

49316040 is an abundant number, since it is smaller than the sum of its proper divisors (122136120).

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

49316040 is a wasteful number, since it uses less digits than its factorization.

49316040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 49316040 is about 7022.5380027452. The cubic root of 49316040 is about 366.7156114644.

The spelling of 49316040 in words is "forty-nine million, three hundred sixteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 81 90 93 108 120 124 135 155 162 180 186 216 248 270 279 310 324 360 372 405 465 491 540 558 620 648 744 810 837 930 982 1080 1116 1240 1395 1473 1620 1674 1860 1964 2232 2455 2511 2790 2946 3240 3348 3720 3928 4185 4419 4910 5022 5580 5892 6696 7365 8370 8838 9820 10044 11160 11784 12555 13257 14730 15221 16740 17676 19640 20088 22095 25110 26514 29460 30442 33480 35352 39771 44190 45663 50220 53028 58920 60884 66285 76105 79542 88380 91326 100440 106056 121768 132570 136989 152210 159084 176760 182652 198855 228315 265140 273978 304420 318168 365304 397710 410967 456630 530280 547956 608840 684945 795420 821934 913260 1095912 1232901 1369890 1590840 1643868 1826520 2054835 2465802 2739780 3287736 4109670 4931604 5479560 6164505 8219340 9863208 12329010 16438680 24658020 49316040