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2048884272 = 243221167433
BaseRepresentation
bin111101000011111…
…0111111000110000
312021210100002211200
41322013313320300
513144003244042
6535150411200
7101526141351
oct17207677060
95253302750
102048884272
119615a6096
12492200b00
13268631976
14156181d28
15bed1bc4c
hex7a1f7e30

2048884272 has 60 divisors (see below), whose sum is σ = 5761291224. Its totient is φ = 679714560.

The previous prime is 2048884259. The next prime is 2048884289. The reversal of 2048884272 is 2724888402.

2048884272 is a `hidden beast` number, since 20 + 488 + 84 + 2 + 72 = 666.

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, 3333 + ... + 64100.

Almost surely, 22048884272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2048884272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880645612).

2048884272 is an abundant number, since it is smaller than the sum of its proper divisors (3712406952).

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

2048884272 is a wasteful number, since it uses less digits than its factorization.

2048884272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67658 (or 67649 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 2048884272 is about 45264.6028591879. The cubic root of 2048884272 is about 1270.1035879711.

The spelling of 2048884272 in words is "two billion, forty-eight million, eight hundred eighty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 211 422 633 844 1266 1688 1899 2532 3376 3798 5064 7596 10128 15192 30384 67433 134866 202299 269732 404598 539464 606897 809196 1078928 1213794 1618392 2427588 3236784 4855176 9710352 14228363 28456726 42685089 56913452 85370178 113826904 128055267 170740356 227653808 256110534 341480712 512221068 682961424 1024442136 2048884272