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2048248461 = 37231449473
BaseRepresentation
bin111101000010101…
…1100101010001101
312021202010210200010
41322011130222031
513143322422321
6535125023433
7101520552600
oct17205345215
95252123603
102048248461
11961201426
12491b54b79
1326846b44c
14156058337
15bec43676
hex7a15ca8d

2048248461 has 24 divisors (see below), whose sum is σ = 3279362304. Its totient is φ = 1132669440.

The previous prime is 2048248429. The next prime is 2048248481. The reversal of 2048248461 is 1648428402.

It is not a de Polignac number, because 2048248461 - 25 = 2048248429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048248481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220180 + ... + 229293.

It is an arithmetic number, because the mean of its divisors is an integer number (136640096).

Almost surely, 22048248461 is an apocalyptic number.

2048248461 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2048248461 is a deficient number, since it is larger than the sum of its proper divisors (1231113843).

2048248461 is a wasteful number, since it uses less digits than its factorization.

2048248461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449521 (or 449514 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 2048248461 is about 45257.5790448407. The cubic root of 2048248461 is about 1269.9721946090.

The spelling of 2048248461 in words is "two billion, forty-eight million, two hundred forty-eight thousand, four hundred sixty-one".

Divisors: 1 3 7 21 31 49 93 147 217 651 1519 4557 449473 1348419 3146311 9438933 13933663 22024177 41800989 66072531 97535641 292606923 682749487 2048248461