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4048881216 = 263712291297
BaseRepresentation
bin1111000101010101…
…0000011001000000
3101110011200110212120
43301111100121000
531243003144331
61505433324240
7202222631262
oct36125203100
911404613776
104048881216
111798540426
1294bb66680
134c6aa7803
142a5a39b32
1518a6cd796
hexf1550640

4048881216 has 112 divisors (see below), whose sum is σ = 10919399040. Its totient is φ = 1323786240.

The previous prime is 4048881181. The next prime is 4048881229. The reversal of 4048881216 is 6121888404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3121080 + ... + 3122376.

Almost surely, 24048881216 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 4048881216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459699520).

4048881216 is an abundant number, since it is smaller than the sum of its proper divisors (6870517824).

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

4048881216 is a wasteful number, since it uses less digits than its factorization.

4048881216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 4048881216 is about 63630.8197024052. The cubic root of 4048881216 is about 1593.8410642807.

The spelling of 4048881216 in words is "four billion, forty-eight million, eight hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 229 284 426 458 568 687 852 916 1136 1297 1374 1704 1832 2272 2594 2748 3408 3664 3891 4544 5188 5496 6816 7328 7782 10376 10992 13632 14656 15564 16259 20752 21984 31128 32518 41504 43968 48777 62256 65036 83008 92087 97554 124512 130072 184174 195108 249024 260144 276261 297013 368348 390216 520288 552522 594026 736696 780432 891039 1040576 1105044 1188052 1473392 1560864 1782078 2210088 2376104 2946784 3121728 3564156 4420176 4752208 5893568 7128312 8840352 9504416 14256624 17680704 19008832 21087923 28513248 42175846 57026496 63263769 84351692 126527538 168703384 253055076 337406768 506110152 674813536 1012220304 1349627072 2024440608 4048881216