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4457040 = 243572379
BaseRepresentation
bin10001000000001001010000
322101102220120
4101000021100
52120111130
6235310240
752612200
oct21001120
98342816
104457040
112574705
1215ab380
13c00903
14840400
155d0910
hex440250

4457040 has 120 divisors (see below), whose sum is σ = 16115040. Its totient is φ = 1016064.

The previous prime is 4456997. The next prime is 4457093. The reversal of 4457040 is 407544.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4457040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11571 + ... + 11949.

It is an arithmetic number, because the mean of its divisors is an integer number (134292).

Almost surely, 24457040 is an apocalyptic number.

4457040 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 4457040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8057520).

4457040 is an abundant number, since it is smaller than the sum of its proper divisors (11658000).

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

4457040 is a wasteful number, since it uses less digits than its factorization.

4457040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 4457040 is about 2111.1702915682. The cubic root of 4457040 is about 164.5693083529.

The spelling of 4457040 in words is "four million, four hundred fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 379 392 420 490 560 588 735 758 784 840 980 1137 1176 1470 1516 1680 1895 1960 2274 2352 2653 2940 3032 3790 3920 4548 5306 5685 5880 6064 7580 7959 9096 10612 11370 11760 13265 15160 15918 18192 18571 21224 22740 26530 30320 31836 37142 39795 42448 45480 53060 55713 63672 74284 79590 90960 92855 106120 111426 127344 148568 159180 185710 212240 222852 278565 297136 318360 371420 445704 557130 636720 742840 891408 1114260 1485680 2228520 4457040