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49144680 = 233251310501
BaseRepresentation
bin1011101101111…
…0001101101000
310102110210211100
42323132031220
5100040112210
64513201400
71134502644
oct273361550
9112423740
1049144680
1125817142
1214560260
13a248cc0
146753c24
1544ab5c0
hex2ede368

49144680 has 96 divisors (see below), whose sum is σ = 172022760. Its totient is φ = 12096000.

The previous prime is 49144679. The next prime is 49144723. The reversal of 49144680 is 8644194.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25583364 + 23561316 = 5058^2 + 4854^2 .

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

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, 571 + ... + 9930.

Almost surely, 249144680 is an apocalyptic number.

49144680 is a gapful number since it is divisible by the number (40) 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 49144680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86011380).

49144680 is an abundant number, since it is smaller than the sum of its proper divisors (122878080).

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

49144680 is a wasteful number, since it uses less digits than its factorization.

49144680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10531 (or 10524 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 49144680 is about 7010.3266685655. The cubic root of 49144680 is about 366.2903724516.

The spelling of 49144680 in words is "forty-nine million, one hundred forty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 10501 21002 31503 42004 52505 63006 84008 94509 105010 126012 136513 157515 189018 210020 252024 273026 315030 378036 409539 420040 472545 546052 630060 682565 756072 819078 945090 1092104 1228617 1260120 1365130 1638156 1890180 2047695 2457234 2730260 3276312 3780360 4095390 4914468 5460520 6143085 8190780 9828936 12286170 16381560 24572340 49144680