Search a number
-
+
2307650048 = 291121932
BaseRepresentation
bin1000100110001011…
…1111001000000000
312221211020202202022
42021202333020000
514211224300143
61020552541012
7111120462464
oct21142771000
95854222668
102307650048
11a84676700
125449b1768
132aa123202
1417c6a04a4
15d78d3268
hex898bf200

2307650048 has 90 divisors (see below), whose sum is σ = 5094457137. Its totient is φ = 1043496960.

The previous prime is 2307650029. The next prime is 2307650087. The reversal of 2307650048 is 8400567032.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2142578944 + 165071104 = 46288^2 + 12848^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33968.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11956640 + ... + 11956832.

Almost surely, 22307650048 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 2307650048

2307650048 is an abundant number, since it is smaller than the sum of its proper divisors (2786807089).

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

2307650048 is an frugal number, since it uses more digits than its factorization.

2307650048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 2307650048 is about 48038.0062866893. The cubic root of 2307650048 is about 1321.4679964384.

The spelling of 2307650048 in words is "two billion, three hundred seven million, six hundred fifty thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 193 242 256 352 386 484 512 704 772 968 1408 1544 1936 2123 2816 3088 3872 4246 5632 6176 7744 8492 12352 15488 16984 23353 24704 30976 33968 37249 46706 49408 61952 67936 74498 93412 98816 135872 148996 186824 271744 297992 373648 409739 543488 595984 747296 819478 1086976 1191968 1494592 1638956 2383936 2989184 3277912 4507129 4767872 5978368 6555824 9014258 9535744 11956736 13111648 18028516 19071488 26223296 36057032 52446592 72114064 104893184 144228128 209786368 288456256 576912512 1153825024 2307650048