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49449408 = 2632983107
BaseRepresentation
bin1011110010100…
…0100111000000
310110001021211120
42330220213000
5100124340113
64523512240
71140212241
oct274504700
9113037746
1049449408
1125a05088
1214688680
13a324908
1467d2cc8
15451ba23
hex2f289c0

49449408 has 112 divisors (see below), whose sum is σ = 138257280. Its totient is φ = 15576064.

The previous prime is 49449401. The next prime is 49449443. The reversal of 49449408 is 80494494.

It is a self number, because there is not a number n which added to its sum of digits gives 49449408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49449401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462091 + ... + 462197.

It is an arithmetic number, because the mean of its divisors is an integer number (1234440).

Almost surely, 249449408 is an apocalyptic number.

49449408 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 49449408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69128640).

49449408 is an abundant number, since it is smaller than the sum of its proper divisors (88807872).

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

49449408 is a wasteful number, since it uses less digits than its factorization.

49449408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 49449408 is about 7032.0273037013. The cubic root of 49449408 is about 367.0458901155.

The spelling of 49449408 in words is "forty-nine million, four hundred forty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 83 87 96 107 116 166 174 192 214 232 249 321 332 348 428 464 498 642 664 696 856 928 996 1284 1328 1392 1712 1856 1992 2407 2568 2656 2784 3103 3424 3984 4814 5136 5312 5568 6206 6848 7221 7968 8881 9309 9628 10272 12412 14442 15936 17762 18618 19256 20544 24824 26643 28884 35524 37236 38512 49648 53286 57768 71048 74472 77024 99296 106572 115536 142096 148944 154048 198592 213144 231072 257549 284192 297888 426288 462144 515098 568384 595776 772647 852576 1030196 1545294 1705152 2060392 3090588 4120784 6181176 8241568 12362352 16483136 24724704 49449408