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49114944 = 263343661
BaseRepresentation
bin1011101101011…
…0111101000000
310102102022001000
42323112331000
5100033134234
64512412000
71134320154
oct273267500
9112368030
1049114944
11257a686a
1214547000
13a2385c8
146747064
1544a2899
hex2ed6f40

49114944 has 112 divisors (see below), whose sum is σ = 147970240. Its totient is φ = 15966720.

The previous prime is 49114939. The next prime is 49114969. The reversal of 49114944 is 44941194.

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 junction number, because it is equal to n+sod(n) for n = 49114899 and 49114908.

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, 73974 + ... + 74634.

Almost surely, 249114944 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 49114944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73985120).

49114944 is an abundant number, since it is smaller than the sum of its proper divisors (98855296).

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

49114944 is a wasteful number, since it uses less digits than its factorization.

49114944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 709 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 49114944 is about 7008.2054764397. The cubic root of 49114944 is about 366.2164803703.

The spelling of 49114944 in words is "forty-nine million, one hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 129 144 172 192 216 258 288 344 387 432 516 576 661 688 774 864 1032 1161 1322 1376 1548 1728 1983 2064 2322 2644 2752 3096 3966 4128 4644 5288 5949 6192 7932 8256 9288 10576 11898 12384 15864 17847 18576 21152 23796 24768 28423 31728 35694 37152 42304 47592 56846 63456 71388 74304 85269 95184 113692 126912 142776 170538 190368 227384 255807 285552 341076 380736 454768 511614 571104 682152 767421 909536 1023228 1142208 1364304 1534842 1819072 2046456 2728608 3069684 4092912 5457216 6139368 8185824 12278736 16371648 24557472 49114944