Search a number
-
+
49353216 = 2931123127
BaseRepresentation
bin1011110001000…
…1001000000000
310102212101212220
42330101020000
5100113300331
64521451040
71136331633
oct274211000
9112771786
1049353216
1125949890
1214640a80
13a2bcbb3
1467a9c1a
1544ed296
hex2f11200

49353216 has 160 divisors (see below), whose sum is σ = 150847488. Its totient is φ = 14192640.

The previous prime is 49353197. The next prime is 49353233. The reversal of 49353216 is 61235394.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388545 + ... + 388671.

Almost surely, 249353216 is an apocalyptic number.

49353216 is a gapful number since it is divisible by the number (46) 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 49353216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75423744).

49353216 is an abundant number, since it is smaller than the sum of its proper divisors (101494272).

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

49353216 is a wasteful number, since it uses less digits than its factorization.

49353216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 166 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 49353216 is about 7025.1844103909. The cubic root of 49353216 is about 366.8077356181.

The spelling of 49353216 in words is "forty-nine million, three hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 127 128 132 138 176 184 192 253 254 256 264 276 352 368 381 384 506 508 512 528 552 704 736 759 762 768 1012 1016 1056 1104 1397 1408 1472 1518 1524 1536 2024 2032 2112 2208 2794 2816 2921 2944 3036 3048 4048 4064 4191 4224 4416 5588 5632 5842 5888 6072 6096 8096 8128 8382 8448 8763 8832 11176 11684 11776 12144 12192 16192 16256 16764 16896 17526 17664 22352 23368 24288 24384 32131 32384 32512 33528 35052 35328 44704 46736 48576 48768 64262 64768 65024 67056 70104 89408 93472 96393 97152 97536 128524 129536 134112 140208 178816 186944 192786 194304 195072 257048 268224 280416 357632 373888 385572 388608 514096 536448 560832 715264 747776 771144 1028192 1072896 1121664 1495552 1542288 2056384 2145792 2243328 3084576 4112768 4486656 6169152 8225536 12338304 16451072 24676608 49353216