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4946480 = 245711273
BaseRepresentation
bin10010110111101000110000
3100022022021222
4102313220300
52231241410
6254004212
760021140
oct22675060
910268258
104946480
112879400
1217a6668
131042616
1492a920
1567a955
hex4b7a30

4946480 has 120 divisors (see below), whose sum is σ = 14644896. Its totient is φ = 1520640.

The previous prime is 4946477. The next prime is 4946483. The reversal of 4946480 is 846494.

It is an interprime number because it is at equal distance from previous prime (4946477) and next prime (4946483).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4946480.

It is not an unprimeable number, because it can be changed into a prime (4946483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67724 + ... + 67796.

Almost surely, 24946480 is an apocalyptic number.

4946480 is a gapful number since it is divisible by the number (40) 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 4946480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7322448).

4946480 is an abundant number, since it is smaller than the sum of its proper divisors (9698416).

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

4946480 is a wasteful number, since it uses less digits than its factorization.

4946480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 4946480 is about 2224.0683442736. The cubic root of 4946480 is about 170.3852853054.

The spelling of 4946480 in words is "four million, nine hundred forty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 73 77 80 88 110 112 121 140 146 154 176 220 242 280 292 308 365 385 440 484 511 560 584 605 616 730 770 803 847 880 968 1022 1168 1210 1232 1460 1540 1606 1694 1936 2044 2420 2555 2920 3080 3212 3388 4015 4088 4235 4840 5110 5621 5840 6160 6424 6776 8030 8176 8470 8833 9680 10220 11242 12848 13552 16060 16940 17666 20440 22484 28105 32120 33880 35332 40880 44165 44968 56210 61831 64240 67760 70664 88330 89936 112420 123662 141328 176660 224840 247324 309155 353320 449680 494648 618310 706640 989296 1236620 2473240 4946480