Search a number
-
+
1948664208 = 243113359267
BaseRepresentation
bin111010000100110…
…0100000110010000
312000210202101202110
41310021210012100
512442324223313
6521210345320
766201241521
oct16411440620
95023671673
101948664208
1190aa74297
1246472b240
13250941c5a
14146b34848
15b6121ec3
hex74264190

1948664208 has 40 divisors (see below), whose sum is σ = 5078612448. Its totient is φ = 643804672.

The previous prime is 1948664189. The next prime is 1948664233. The reversal of 1948664208 is 8024668491.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174210 + ... + 185057.

Almost surely, 21948664208 is an apocalyptic number.

It is an amenable number.

1948664208 is an abundant number, since it is smaller than the sum of its proper divisors (3129948240).

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

1948664208 is a wasteful number, since it uses less digits than its factorization.

1948664208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359391 (or 359385 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 1948664208 is about 44143.6768744970. The cubic root of 1948664208 is about 1249.0476389644.

The spelling of 1948664208 in words is "one billion, nine hundred forty-eight million, six hundred sixty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2712 5424 359267 718534 1077801 1437068 2155602 2874136 4311204 5748272 8622408 17244816 40597171 81194342 121791513 162388684 243583026 324777368 487166052 649554736 974332104 1948664208