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2149597392 = 243294013851
BaseRepresentation
bin1000000000100000…
…0100000011010000
312112210211212021020
42000020010003100
513400244104032
6553145155440
7104161163535
oct20010040320
95483755236
102149597392
11a03434378
124bba8bb80
13283464c27
141656bad8c
15c8ab2b2c
hex802040d0

2149597392 has 80 divisors (see below), whose sum is σ = 5760434880. Its totient is φ = 689920000.

The previous prime is 2149597369. The next prime is 2149597397. The reversal of 2149597392 is 2937959412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2149597397) 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, 556267 + ... + 560117.

It is an arithmetic number, because the mean of its divisors is an integer number (72005436).

Almost surely, 22149597392 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 2149597392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880217440).

2149597392 is an abundant number, since it is smaller than the sum of its proper divisors (3610837488).

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

2149597392 is a wasteful number, since it uses less digits than its factorization.

2149597392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292 (or 4286 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 51.

The square root of 2149597392 is about 46363.7508405004. The cubic root of 2149597392 is about 1290.5823126679.

The spelling of 2149597392 in words is "two billion, one hundred forty-nine million, five hundred ninety-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 401 464 696 802 1203 1392 1604 2406 3208 3851 4812 6416 7702 9624 11553 11629 15404 19248 23106 23258 30808 34887 46212 46516 61616 69774 92424 93032 111679 139548 184848 186064 223358 279096 335037 446716 558192 670074 893432 1340148 1544251 1786864 2680296 3088502 4632753 5360592 6177004 9265506 12354008 18531012 24708016 37062024 44783279 74124048 89566558 134349837 179133116 268699674 358266232 537399348 716532464 1074798696 2149597392