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49349232 = 243217191061
BaseRepresentation
bin1011110001000…
…0001001110000
310102212012102100
42330100021300
5100113133412
64521420400
71136314212
oct274201160
9112765370
1049349232
1125946899
121463a700
13a2bb13a
1467a85b2
1544ebedc
hex2f10270

49349232 has 120 divisors (see below), whose sum is σ = 154074960. Its totient is φ = 14653440.

The previous prime is 49349221. The next prime is 49349233. The reversal of 49349232 is 23294394.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49349233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45982 + ... + 47042.

It is an arithmetic number, because the mean of its divisors is an integer number (1283958).

Almost surely, 249349232 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 49349232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77037480).

49349232 is an abundant number, since it is smaller than the sum of its proper divisors (104725728).

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

49349232 is a wasteful number, since it uses less digits than its factorization.

49349232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1102 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 49349232 is about 7024.9008533929. The cubic root of 49349232 is about 366.7978652627.

It can be divided in two parts, 49 and 349232, that added together give a square (349281 = 5912).

The spelling of 49349232 in words is "forty-nine million, three hundred forty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 34 36 38 48 51 57 68 72 76 102 114 136 144 152 153 171 204 228 272 304 306 323 342 408 456 612 646 684 816 912 969 1061 1224 1292 1368 1938 2122 2448 2584 2736 2907 3183 3876 4244 5168 5814 6366 7752 8488 9549 11628 12732 15504 16976 18037 19098 20159 23256 25464 36074 38196 40318 46512 50928 54111 60477 72148 76392 80636 108222 120954 144296 152784 161272 162333 181431 216444 241908 288592 322544 324666 342703 362862 432888 483816 649332 685406 725724 865776 967632 1028109 1298664 1370812 1451448 2056218 2597328 2741624 2902896 3084327 4112436 5483248 6168654 8224872 12337308 16449744 24674616 49349232