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2916921648 = 243196747737
BaseRepresentation
bin1010110111011100…
…1011000100110000
321112021200222021010
42231313023010300
521433212443043
61201235430520
7132166265514
oct25567130460
97467628233
102916921648
111267587453
12694a55440
13376416c54
141d957c144
15121133133
hexaddcb130

2916921648 has 80 divisors (see below), whose sum is σ = 8050536320. Its totient is φ = 907365888.

The previous prime is 2916921643. The next prime is 2916921653. The reversal of 2916921648 is 8461296192.

2916921648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2916921643) and next prime (2916921653).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2916921597 and 2916921606.

It is not an unprimeable number, because it can be changed into a prime (2916921643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37236 + ... + 84972.

It is an arithmetic number, because the mean of its divisors is an integer number (100631704).

Almost surely, 22916921648 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 2916921648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025268160).

2916921648 is an abundant number, since it is smaller than the sum of its proper divisors (5133614672).

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

2916921648 is a wasteful number, since it uses less digits than its factorization.

2916921648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47834 (or 47828 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 2916921648 is about 54008.5331035754. The cubic root of 2916921648 is about 1428.8114478922.

The spelling of 2916921648 in words is "two billion, nine hundred sixteen million, nine hundred twenty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 67 76 114 134 152 201 228 268 304 402 456 536 804 912 1072 1273 1608 2546 3216 3819 5092 7638 10184 15276 20368 30552 47737 61104 95474 143211 190948 286422 381896 572844 763792 907003 1145688 1814006 2291376 2721009 3198379 3628012 5442018 6396758 7256024 9595137 10884036 12793516 14512048 19190274 21768072 25587032 38380548 43536144 51174064 60769201 76761096 121538402 153522192 182307603 243076804 364615206 486153608 729230412 972307216 1458460824 2916921648