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4479972 = 2237219401
BaseRepresentation
bin10001000101101111100100
322102121100220
4101011233210
52121324342
6240004340
753036100
oct21055744
98377326
104479972
11258a962
1216006b0
13c0b193
14848900
155d75ec
hex445be4

4479972 has 72 divisors (see below), whose sum is σ = 12831840. Its totient is φ = 1209600.

The previous prime is 4479967. The next prime is 4479973. The reversal of 4479972 is 2799744.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (127008) is a multiple of the sum of its prime divisors (432).

It is not an unprimeable number, because it can be changed into a prime (4479973) 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, 10972 + ... + 11372.

It is an arithmetic number, because the mean of its divisors is an integer number (178220).

Almost surely, 24479972 is an apocalyptic number.

4479972 is a gapful number since it is divisible by the number (42) 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 4479972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415920).

4479972 is an abundant number, since it is smaller than the sum of its proper divisors (8351868).

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

4479972 is a wasteful number, since it uses less digits than its factorization.

4479972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 432 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 4479972 is about 2116.5944344631. The cubic root of 4479972 is about 164.8510685512.

The spelling of 4479972 in words is "four million, four hundred seventy-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 399 401 532 588 798 802 931 1203 1596 1604 1862 2406 2793 2807 3724 4812 5586 5614 7619 8421 11172 11228 15238 16842 19649 22857 30476 33684 39298 45714 53333 58947 78596 91428 106666 117894 159999 213332 235788 319998 373331 639996 746662 1119993 1493324 2239986 4479972