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4948272 = 243274909
BaseRepresentation
bin10010111000000100110000
3100022101202100
4102320010300
52231321042
6254020400
760026310
oct22700460
910271670
104948272
11287a78a
1217a7700
131043394
1492b440
1567b24c
hex4b8130

4948272 has 60 divisors (see below), whose sum is σ = 15829840. Its totient is φ = 1413504.

The previous prime is 4948267. The next prime is 4948283. The reversal of 4948272 is 2728494.

4948272 = T88 + T89 + ... + T311.

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 a d-powerful number, because it can be written as 45 + 97 + 47 + 8 + 23 + 75 + 217 .

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, 1447 + ... + 3462.

Almost surely, 24948272 is an apocalyptic number.

4948272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4948272 is an abundant number, since it is smaller than the sum of its proper divisors (10881568).

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

4948272 is a wasteful number, since it uses less digits than its factorization.

4948272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4930 (or 4921 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 4948272 is about 2224.4711731106. The cubic root of 4948272 is about 170.4058584245.

The spelling of 4948272 in words is "four million, nine hundred forty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 4909 9818 14727 19636 29454 34363 39272 44181 58908 68726 78544 88362 103089 117816 137452 176724 206178 235632 274904 309267 353448 412356 549808 618534 706896 824712 1237068 1649424 2474136 4948272