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49809400 = 23523753127
BaseRepresentation
bin1011111000000…
…0011111111000
310110201120122121
42332000133320
5100222400100
64535331024
71143241624
oct276003770
9113646577
1049809400
11261305a3
1214820a74
13a41c724
146888184
15458d51a
hex2f807f8

49809400 has 96 divisors (see below), whose sum is σ = 122135040. Its totient is φ = 18869760.

The previous prime is 49809391. The next prime is 49809401. The reversal of 49809400 is 490894.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49809401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392137 + ... + 392263.

It is an arithmetic number, because the mean of its divisors is an integer number (1272240).

Almost surely, 249809400 is an apocalyptic number.

49809400 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 49809400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61067520).

49809400 is an abundant number, since it is smaller than the sum of its proper divisors (72325640).

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

49809400 is a wasteful number, since it uses less digits than its factorization.

49809400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 49809400 is about 7057.5774880620. The cubic root of 49809400 is about 367.9344361773.

The spelling of 49809400 in words is "forty-nine million, eight hundred nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 53 74 100 106 127 148 185 200 212 254 265 296 370 424 508 530 635 740 925 1016 1060 1270 1325 1480 1850 1961 2120 2540 2650 3175 3700 3922 4699 5080 5300 6350 6731 7400 7844 9398 9805 10600 12700 13462 15688 18796 19610 23495 25400 26924 33655 37592 39220 46990 49025 53848 67310 78440 93980 98050 117475 134620 168275 187960 196100 234950 249047 269240 336550 392200 469900 498094 673100 939800 996188 1245235 1346200 1992376 2490470 4980940 6226175 9961880 12452350 24904700 49809400