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49443072 = 283717541
BaseRepresentation
bin1011110010011…
…1000100000000
310110000222010220
42330213010000
5100124134242
64523423040
71140154620
oct274470400
9113028126
1049443072
1125a00348
1214684a80
13a321a73
1467d0880
154519bec
hex2f27100

49443072 has 144 divisors (see below), whose sum is σ = 159530112. Its totient is φ = 13271040.

The previous prime is 49443071. The next prime is 49443101. The reversal of 49443072 is 27034494.

It is not an unprimeable number, because it can be changed into a prime (49443071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91122 + ... + 91662.

It is an arithmetic number, because the mean of its divisors is an integer number (1107848).

Almost surely, 249443072 is an apocalyptic number.

49443072 is a gapful number since it is divisible by the number (42) 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 49443072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79765056).

49443072 is an abundant number, since it is smaller than the sum of its proper divisors (110087040).

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

49443072 is a wasteful number, since it uses less digits than its factorization.

49443072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 49443072 is about 7031.5767790731. The cubic root of 49443072 is about 367.0302127988.

The spelling of 49443072 in words is "forty-nine million, four hundred forty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 256 272 336 357 384 408 448 476 541 544 672 714 768 816 896 952 1082 1088 1344 1428 1623 1632 1792 1904 2164 2176 2688 2856 3246 3264 3787 3808 4328 4352 5376 5712 6492 6528 7574 7616 8656 9197 11361 11424 12984 13056 15148 15232 17312 18394 22722 22848 25968 27591 30296 30464 34624 36788 45444 45696 51936 55182 60592 64379 69248 73576 90888 91392 103872 110364 121184 128758 138496 147152 181776 193137 207744 220728 242368 257516 294304 363552 386274 415488 441456 484736 515032 588608 727104 772548 882912 969472 1030064 1177216 1454208 1545096 1765824 2060128 2354432 2908416 3090192 3531648 4120256 6180384 7063296 8240512 12360768 16481024 24721536 49443072