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2049715872 = 253247163929
BaseRepresentation
bin111101000101100…
…0010111010100000
312021211220100120200
41322023002322200
513144211401442
6535220305200
7101536204011
oct17213027240
95254810520
102049715872
11962013966
12492542200
13268863339
1415631b008
15bee3334c
hex7a2c2ea0

2049715872 has 144 divisors (see below), whose sum is σ = 5995866240. Its totient is φ = 663883776.

The previous prime is 2049715859. The next prime is 2049715883. The reversal of 2049715872 is 2785179402.

It is a happy number.

2049715872 is a `hidden beast` number, since 2 + 0 + 497 + 158 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2205904 + ... + 2206832.

It is an arithmetic number, because the mean of its divisors is an integer number (41637960).

Almost surely, 22049715872 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 2049715872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997933120).

2049715872 is an abundant number, since it is smaller than the sum of its proper divisors (3946150368).

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

2049715872 is a wasteful number, since it uses less digits than its factorization.

2049715872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 2049715872 is about 45273.7879130960. The cubic root of 2049715872 is about 1270.2754010389.

The spelling of 2049715872 in words is "two billion, forty-nine million, seven hundred fifteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 163 188 282 288 326 376 423 489 564 652 752 846 929 978 1128 1304 1467 1504 1692 1858 1956 2256 2608 2787 2934 3384 3716 3912 4512 5216 5574 5868 6768 7432 7661 7824 8361 11148 11736 13536 14864 15322 15648 16722 22296 22983 23472 29728 30644 33444 43663 44592 45966 46944 61288 66888 68949 87326 89184 91932 122576 130989 133776 137898 151427 174652 183864 245152 261978 267552 275796 302854 349304 367728 392967 454281 523956 551592 605708 698608 735456 785934 908562 1047912 1103184 1211416 1362843 1397216 1571868 1817124 2095824 2206368 2422832 2725686 3143736 3634248 4191648 4845664 5451372 6287472 7117069 7268496 10902744 12574944 14234138 14536992 21351207 21805488 28468276 42702414 43610976 56936552 64053621 85404828 113873104 128107242 170809656 227746208 256214484 341619312 512428968 683238624 1024857936 2049715872