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4981248 = 29322347
BaseRepresentation
bin10011000000001000000000
3100101001222200
4103000020000
52233344443
6254433200
760224406
oct23001000
910331880
104981248
1128a2538
121802800
1310553ac
14939476
15685dd3
hex4c0200

4981248 has 120 divisors (see below), whose sum is σ = 15320448. Its totient is φ = 1554432.

The previous prime is 4981237. The next prime is 4981259. The reversal of 4981248 is 8421894.

It is an interprime number because it is at equal distance from previous prime (4981237) and next prime (4981259).

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105961 + ... + 106007.

Almost surely, 24981248 is an apocalyptic number.

4981248 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 4981248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7660224).

4981248 is an abundant number, since it is smaller than the sum of its proper divisors (10339200).

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

4981248 is a wasteful number, since it uses less digits than its factorization.

4981248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 75 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 4981248 is about 2231.8709640120. The cubic root of 4981248 is about 170.7835570757.

The spelling of 4981248 in words is "four million, nine hundred eighty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 47 48 64 69 72 92 94 96 128 138 141 144 184 188 192 207 256 276 282 288 368 376 384 414 423 512 552 564 576 736 752 768 828 846 1081 1104 1128 1152 1472 1504 1536 1656 1692 2162 2208 2256 2304 2944 3008 3243 3312 3384 4324 4416 4512 4608 5888 6016 6486 6624 6768 8648 8832 9024 9729 11776 12032 12972 13248 13536 17296 17664 18048 19458 24064 25944 26496 27072 34592 35328 36096 38916 51888 52992 54144 69184 72192 77832 103776 105984 108288 138368 155664 207552 216576 276736 311328 415104 553472 622656 830208 1245312 1660416 2490624 4981248