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2379246048 = 253733997
BaseRepresentation
bin1000110111010000…
…0110100111100000
320010210222020000000
42031310012213200
514333041333143
61032031300000
7112650154254
oct21564064740
96123866000
102379246048
111011027853
1256497a600
132bbc002ca
14187dba264
15ddd26bd3
hex8dd069e0

2379246048 has 96 divisors (see below), whose sum is σ = 7025346720. Its totient is φ = 793058688.

The previous prime is 2379246041. The next prime is 2379246049. The reversal of 2379246048 is 8406429732.

2379246048 is a `hidden beast` number, since 2 + 37 + 9 + 2 + 4 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2379245994 and 2379246012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2379246041) 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, 52986 + ... + 86982.

It is an arithmetic number, because the mean of its divisors is an integer number (73180695).

Almost surely, 22379246048 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 2379246048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512673360).

2379246048 is an abundant number, since it is smaller than the sum of its proper divisors (4646100672).

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

2379246048 is an frugal number, since it uses more digits than its factorization.

2379246048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34028 (or 34002 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2379246048 is about 48777.5158039029. The cubic root of 2379246048 is about 1334.9954500539.

The spelling of 2379246048 in words is "two billion, three hundred seventy-nine million, two hundred forty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2187 2592 2916 3888 4374 5832 7776 8748 11664 17496 23328 33997 34992 67994 69984 101991 135988 203982 271976 305973 407964 543952 611946 815928 917919 1087904 1223892 1631856 1835838 2447784 2753757 3263712 3671676 4895568 5507514 7343352 8261271 9791136 11015028 14686704 16522542 22030056 24783813 29373408 33045084 44060112 49567626 66090168 74351439 88120224 99135252 132180336 148702878 198270504 264360672 297405756 396541008 594811512 793082016 1189623024 2379246048