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2047285950 = 235223957107
BaseRepresentation
bin111101000000111…
…0001101010111110
312021200022220100120
41322001301222332
513143101122300
6535052235410
7101506433463
oct17201615276
95250286316
102047285950
11960704266
1249176bb66
132681c2308
14155c8766a
15beb033a0
hex7a071abe

2047285950 has 48 divisors (see below), whose sum is σ = 5098602240. Its totient is φ = 543649120.

The previous prime is 2047285937. The next prime is 2047285951. The reversal of 2047285950 is 595827402.

It is a super-2 number, since 2×20472859502 = 8382759522134805000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2047285951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7297 + ... + 64403.

It is an arithmetic number, because the mean of its divisors is an integer number (106220880).

Almost surely, 22047285950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2047285950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549301120).

2047285950 is an abundant number, since it is smaller than the sum of its proper divisors (3051316290).

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

2047285950 is a wasteful number, since it uses less digits than its factorization.

2047285950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57361 (or 57356 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 2047285950 is about 45246.9440957066. The cubic root of 2047285950 is about 1269.7732353924.

The spelling of 2047285950 in words is "two billion, forty-seven million, two hundred eighty-five thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 239 478 717 1195 1434 2390 3585 5975 7170 11950 17925 35850 57107 114214 171321 285535 342642 571070 856605 1427675 1713210 2855350 4283025 8566050 13648573 27297146 40945719 68242865 81891438 136485730 204728595 341214325 409457190 682428650 1023642975 2047285950