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49498128 = 243529439
BaseRepresentation
bin1011110011010…
…0100000010000
310110010202200000
42330310200100
5100132420003
64524530000
71140504261
oct274644020
9113122600
1049498128
1125a38749
12146b0900
13a340b44
146806968
15452b1a3
hex2f34810

49498128 has 120 divisors (see below), whose sum is σ = 148948800. Its totient is φ = 15894144.

The previous prime is 49498087. The next prime is 49498153. The reversal of 49498128 is 82189494.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112533 + ... + 112971.

It is an arithmetic number, because the mean of its divisors is an integer number (1241240).

Almost surely, 249498128 is an apocalyptic number.

49498128 is a gapful number since it is divisible by the number (48) 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 49498128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74474400).

49498128 is an abundant number, since it is smaller than the sum of its proper divisors (99450672).

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

49498128 is a wasteful number, since it uses less digits than its factorization.

49498128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 473 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 49498128 is about 7035.4906012303. The cubic root of 49498128 is about 367.1663944640.

The spelling of 49498128 in words is "forty-nine million, four hundred ninety-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 243 261 324 348 432 439 464 486 522 648 696 783 878 972 1044 1296 1317 1392 1566 1756 1944 2088 2349 2634 3132 3512 3888 3951 4176 4698 5268 6264 7024 7047 7902 9396 10536 11853 12528 12731 14094 15804 18792 21072 23706 25462 28188 31608 35559 37584 38193 47412 50924 56376 63216 71118 76386 94824 101848 106677 112752 114579 142236 152772 189648 203696 213354 229158 284472 305544 343737 426708 458316 568944 611088 687474 853416 916632 1031211 1374948 1706832 1833264 2062422 2749896 3093633 4124844 5499792 6187266 8249688 12374532 16499376 24749064 49498128