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2048480 = 25573159
BaseRepresentation
bin111110100000111100000
310212001222122
413310013200
51011022410
6111523412
723261150
oct7640740
93761878
102048480
11117a065
12829568
13569525
143b4760
152a6e55
hex1f41e0

2048480 has 96 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 668160.

The previous prime is 2048471. The next prime is 2048509. The reversal of 2048480 is 848402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34691 + ... + 34749.

It is an arithmetic number, because the mean of its divisors is an integer number (60480).

22048480 is an apocalyptic number.

2048480 is a gapful number since it is divisible by the number (20) 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 2048480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903040).

2048480 is an abundant number, since it is smaller than the sum of its proper divisors (3757600).

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

2048480 is a wasteful number, since it uses less digits than its factorization.

2048480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 2048480 is about 1431.2512008729. The cubic root of 2048480 is about 127.0020046390.

The spelling of 2048480 in words is "two million, forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 59 62 70 80 112 118 124 140 155 160 217 224 236 248 280 295 310 413 434 472 496 560 590 620 826 868 944 992 1085 1120 1180 1240 1652 1736 1829 1888 2065 2170 2360 2480 3304 3472 3658 4130 4340 4720 4960 6608 6944 7316 8260 8680 9145 9440 12803 13216 14632 16520 17360 18290 25606 29264 33040 34720 36580 51212 58528 64015 66080 73160 102424 128030 146320 204848 256060 292640 409696 512120 1024240 2048480