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49838490 = 2345134733
BaseRepresentation
bin1011111000011…
…1100110011010
310110210001120000
42332013212122
5100224312430
64540113430
71143422502
oct276074632
9113701500
1049838490
1126150439
1214835876
13a42ca40
146894a02
154596e60
hex2f8799a

49838490 has 80 divisors (see below), whose sum is σ = 144349128. Its totient is φ = 12265344.

The previous prime is 49838489. The next prime is 49838491. The reversal of 49838490 is 9483894.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (49838489) and next prime (49838491).

It can be written as a sum of positive squares in 4 ways, for example, as 22496049 + 27342441 = 4743^2 + 5229^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (49838491) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8164 + ... + 12896.

Almost surely, 249838490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49838490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72174564).

49838490 is an abundant number, since it is smaller than the sum of its proper divisors (94510638).

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

49838490 is a wasteful number, since it uses less digits than its factorization.

49838490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4765 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 49838490 is about 7059.6380927070. The cubic root of 49838490 is about 368.0060500344.

The spelling of 49838490 in words is "forty-nine million, eight hundred thirty-eight thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1755 2106 3510 4733 5265 9466 10530 14199 23665 28398 42597 47330 61529 70995 85194 123058 127791 141990 184587 212985 255582 307645 369174 383373 425970 553761 615290 638955 766746 922935 1107522 1277910 1661283 1845870 1916865 2768805 3322566 3833730 4983849 5537610 8306415 9967698 16612830 24919245 49838490