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49463040 = 2835111171
BaseRepresentation
bin1011110010101…
…1111100000000
310110001222112110
42330223330000
5100130304130
64524055320
71140300054
oct274537400
9113058473
1049463040
1125a14350
1214694540
13a32ab93
1467d7c64
154520ab0
hex2f2bf00

49463040 has 144 divisors (see below), whose sum is σ = 172480896. Its totient is φ = 11980800.

The previous prime is 49463027. The next prime is 49463119. The reversal of 49463040 is 4036494.

49463040 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 49462989 and 49463007.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 41655 + ... + 42825.

It is an arithmetic number, because the mean of its divisors is an integer number (1197784).

Almost surely, 249463040 is an apocalyptic number.

49463040 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 49463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86240448).

49463040 is an abundant number, since it is smaller than the sum of its proper divisors (123017856).

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

49463040 is a wasteful number, since it uses less digits than its factorization.

49463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 49463040 is about 7032.9965164217. The cubic root of 49463040 is about 367.0796155604.

The spelling of 49463040 in words is "forty-nine million, four hundred sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1171 1280 1320 1408 1760 1920 2112 2342 2640 2816 3513 3520 3840 4224 4684 5280 5855 7026 7040 8448 9368 10560 11710 12881 14052 14080 17565 18736 21120 23420 25762 28104 35130 37472 38643 42240 46840 51524 56208 64405 70260 74944 77286 93680 103048 112416 128810 140520 149888 154572 187360 193215 206096 224832 257620 281040 299776 309144 374720 386430 412192 449664 515240 562080 618288 749440 772860 824384 899328 1030480 1124160 1236576 1498880 1545720 1648768 2060960 2248320 2473152 3091440 3297536 4121920 4496640 4946304 6182880 8243840 9892608 12365760 16487680 24731520 49463040