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49019400 = 233252113241
BaseRepresentation
bin1011101011111…
…1101000001000
310102020102222100
42322333220020
5100022110100
64510353400
71133441463
oct272775010
9112212870
1049019400
1125741001
12144bb860
13a203c81
1467202da
154484400
hex2ebfa08

49019400 has 144 divisors (see below), whose sum is σ = 166769460. Its totient is φ = 12902400.

The previous prime is 49019389. The next prime is 49019407. The reversal of 49019400 is 491094.

It can be written as a sum of positive squares in 6 ways, for example, as 9253764 + 39765636 = 3042^2 + 6306^2 .

It is not an unprimeable number, because it can be changed into a prime (49019407) 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, 203280 + ... + 203520.

Almost surely, 249019400 is an apocalyptic number.

49019400 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 49019400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83384730).

49019400 is an abundant number, since it is smaller than the sum of its proper divisors (117750060).

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

49019400 is a wasteful number, since it uses less digits than its factorization.

49019400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 49019400 is about 7001.3855771554. The cubic root of 49019400 is about 365.9788575084.

The spelling of 49019400 in words is "forty-nine million, nineteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 113 120 150 180 200 225 226 241 300 339 360 450 452 482 565 600 678 723 900 904 964 1017 1130 1205 1356 1446 1695 1800 1928 2034 2169 2260 2410 2712 2825 2892 3390 3615 4068 4338 4520 4820 5085 5650 5784 6025 6780 7230 8136 8475 8676 9640 10170 10845 11300 12050 13560 14460 16950 17352 18075 20340 21690 22600 24100 25425 27233 28920 33900 36150 40680 43380 48200 50850 54225 54466 67800 72300 81699 86760 101700 108450 108932 136165 144600 163398 203400 216900 217864 245097 272330 326796 408495 433800 490194 544660 653592 680825 816990 980388 1089320 1225485 1361650 1633980 1960776 2042475 2450970 2723300 3267960 4084950 4901940 5446600 6127425 8169900 9803880 12254850 16339800 24509700 49019400