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42273280 = 29572337
BaseRepresentation
bin1010000101000…
…0101000000000
32221112201001001
42201100220000
541310221110
64110021344
71022213500
oct241205000
987481031
1042273280
11219535a5
12121a7854
1389b149a
145885a00
153aa063a
hex2850a00

42273280 has 120 divisors (see below), whose sum is σ = 118254708. Its totient is φ = 14450688.

The previous prime is 42273269. The next prime is 42273293. The reversal of 42273280 is 8237224.

It can be written as a sum of positive squares in 2 ways, for example, as 40755456 + 1517824 = 6384^2 + 1232^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 125272 + ... + 125608.

Almost surely, 242273280 is an apocalyptic number.

42273280 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 42273280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59127354).

42273280 is an abundant number, since it is smaller than the sum of its proper divisors (75981428).

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

42273280 is an equidigital number, since it uses as much as digits as its factorization.

42273280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 42273280 is about 6501.7905226176. The cubic root of 42273280 is about 348.3549467803.

The spelling of 42273280 in words is "forty-two million, two hundred seventy-three thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 337 392 448 490 512 560 640 674 784 896 980 1120 1280 1348 1568 1685 1792 1960 2240 2359 2560 2696 3136 3370 3584 3920 4480 4718 5392 6272 6740 7840 8960 9436 10784 11795 12544 13480 15680 16513 17920 18872 21568 23590 25088 26960 31360 33026 37744 43136 47180 53920 62720 66052 75488 82565 86272 94360 107840 125440 132104 150976 165130 172544 188720 215680 264208 301952 330260 377440 431360 528416 603904 660520 754880 862720 1056832 1207808 1321040 1509760 2113664 2642080 3019520 4227328 5284160 6039040 8454656 10568320 21136640 42273280