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49333248 = 2103253101
BaseRepresentation
bin1011110000110…
…0010000000000
310102211101111100
42330030100000
5100112130443
64521214400
71136216466
oct274142000
9112741440
1049333248
1125935888
1214631400
13a2b3a93
1467a2836
1544e73d3
hex2f0c400

49333248 has 132 divisors (see below), whose sum is σ = 146573388. Its totient is φ = 15974400.

The previous prime is 49333243. The next prime is 49333259. The reversal of 49333248 is 84233394.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 42614784 + 6718464 = 6528^2 + 2592^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (49333243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 488398 + ... + 488498.

Almost surely, 249333248 is an apocalyptic number.

49333248 is a gapful number since it is divisible by the number (48) 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 49333248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73286694).

49333248 is an abundant number, since it is smaller than the sum of its proper divisors (97240140).

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

49333248 is a wasteful number, since it uses less digits than its factorization.

49333248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 159 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 49333248 is about 7023.7630939547. The cubic root of 49333248 is about 366.7582595793.

The spelling of 49333248 in words is "forty-nine million, three hundred thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 101 106 128 144 159 192 202 212 256 288 303 318 384 404 424 477 512 576 606 636 768 808 848 909 954 1024 1152 1212 1272 1536 1616 1696 1818 1908 2304 2424 2544 3072 3232 3392 3636 3816 4608 4848 5088 5353 6464 6784 7272 7632 9216 9696 10176 10706 12928 13568 14544 15264 16059 19392 20352 21412 25856 27136 29088 30528 32118 38784 40704 42824 48177 51712 54272 58176 61056 64236 77568 81408 85648 96354 103424 116352 122112 128472 155136 162816 171296 192708 232704 244224 256944 310272 342592 385416 465408 488448 513888 685184 770832 930816 1027776 1370368 1541664 2055552 2740736 3083328 4111104 5481472 6166656 8222208 12333312 16444416 24666624 49333248