Search a number
-
+
49313700 = 223252157349
BaseRepresentation
bin1011110000011…
…1011110100100
310102210101200100
42330013132210
5100111014300
64520544100
71136105502
oct274073644
9112711610
1049313700
1125922127
1214622030
13a2a7c07
146799672
1544e1700
hex2f077a4

49313700 has 108 divisors (see below), whose sum is σ = 156001300. Its totient is φ = 13029120.

The previous prime is 49313699. The next prime is 49313701. The reversal of 49313700 is 731394.

It is an interprime number because it is at equal distance from previous prime (49313699) and next prime (49313701).

It can be written as a sum of positive squares in 6 ways, for example, as 788544 + 48525156 = 888^2 + 6966^2 .

It is not an unprimeable number, because it can be changed into a prime (49313701) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141126 + ... + 141474.

Almost surely, 249313700 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 49313700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78000650).

49313700 is an abundant number, since it is smaller than the sum of its proper divisors (106687600).

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

49313700 is a wasteful number, since it uses less digits than its factorization.

49313700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 49313700 is about 7022.3713943368. The cubic root of 49313700 is about 366.7098112684.

The spelling of 49313700 in words is "forty-nine million, three hundred thirteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 157 180 225 300 314 349 450 471 628 698 785 900 942 1047 1396 1413 1570 1745 1884 2094 2355 2826 3140 3141 3490 3925 4188 4710 5235 5652 6282 6980 7065 7850 8725 9420 10470 11775 12564 14130 15700 15705 17450 20940 23550 26175 28260 31410 34900 35325 47100 52350 54793 62820 70650 78525 104700 109586 141300 157050 164379 219172 273965 314100 328758 493137 547930 657516 821895 986274 1095860 1369825 1643790 1972548 2465685 2739650 3287580 4109475 4931370 5479300 8218950 9862740 12328425 16437900 24656850 49313700