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2074485438 = 233376117021
BaseRepresentation
bin111101110100110…
…0010001010111110
312100120111210001000
41323221202022332
513222032013223
6541503231130
7102256556334
oct17351421276
95316453030
102074485438
11974aa1683
1249a8a84a6
13270a2669c
14159727b54
15c21c7543
hex7ba622be

2074485438 has 64 divisors (see below), whose sum is σ = 4812459840. Its totient is φ = 661737600.

The previous prime is 2074485307. The next prime is 2074485461. The reversal of 2074485438 is 8345844702.

It is a happy number.

2074485438 is a `hidden beast` number, since 207 + 4 + 4 + 8 + 5 + 438 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2074485393 and 2074485402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113368 + ... + 130388.

It is an arithmetic number, because the mean of its divisors is an integer number (75194685).

Almost surely, 22074485438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2074485438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406229920).

2074485438 is an abundant number, since it is smaller than the sum of its proper divisors (2737974402).

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

2074485438 is a wasteful number, since it uses less digits than its factorization.

2074485438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17130 (or 17124 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The square root of 2074485438 is about 45546.5194938098. The cubic root of 2074485438 is about 1275.3717614883.

The spelling of 2074485438 in words is "two billion, seventy-four million, four hundred eighty-five thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 37 54 61 74 111 122 183 222 333 366 549 666 999 1098 1647 1998 2257 3294 4514 6771 13542 17021 20313 34042 40626 51063 60939 102126 121878 153189 306378 459567 629777 919134 1038281 1259554 1889331 2076562 3114843 3778662 5667993 6229686 9344529 11335986 17003979 18689058 28033587 34007958 38416397 56067174 76832794 115249191 230498382 345747573 691495146 1037242719 2074485438