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49284500 = 2253241409
BaseRepresentation
bin1011110000000…
…0010110010100
310102201220121212
42330000112110
5100104101000
64520200552
71135624406
oct274002624
9112656555
1049284500
11259021a1
1214609158
13a297835
14678cb76
1544d7c35
hex2f00594

49284500 has 48 divisors (see below), whose sum is σ = 108348240. Its totient is φ = 19584000.

The previous prime is 49284497. The next prime is 49284503. The reversal of 49284500 is 548294.

It is an interprime number because it is at equal distance from previous prime (49284497) and next prime (49284503).

It can be written as a sum of positive squares in 8 ways, for example, as 2553604 + 46730896 = 1598^2 + 6836^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49284503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120296 + ... + 120704.

It is an arithmetic number, because the mean of its divisors is an integer number (2257255).

Almost surely, 249284500 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 49284500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54174120).

49284500 is an abundant number, since it is smaller than the sum of its proper divisors (59063740).

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

49284500 is a wasteful number, since it uses less digits than its factorization.

49284500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 49284500 is about 7020.2920167184. The cubic root of 49284500 is about 366.6374173179.

The spelling of 49284500 in words is "forty-nine million, two hundred eighty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 241 250 409 482 500 818 964 1205 1636 2045 2410 4090 4820 6025 8180 10225 12050 20450 24100 30125 40900 51125 60250 98569 102250 120500 197138 204500 394276 492845 985690 1971380 2464225 4928450 9856900 12321125 24642250 49284500