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379977049 = 10121932
BaseRepresentation
bin10110101001011…
…111110101011001
3222110222211112001
4112221133311121
51234233231144
6101412121001
712262515544
oct2651376531
9873884461
10379977049
1118553a421
12a7306161
13609508ba
143867185b
152355abd4
hex16a5fd59

379977049 has 9 divisors (see below), whose sum is σ = 385775229. Its totient is φ = 374265600.

The previous prime is 379977041. The next prime is 379977061. The reversal of 379977049 is 940779973.

The square root of 379977049 is 19493.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 36542025 + 343435024 = 6045^2 + 18532^2 .

It is not a de Polignac number, because 379977049 - 23 = 379977041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (379977041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1968697 + ... + 1968889.

Almost surely, 2379977049 is an apocalyptic number.

379977049 is the 19493-rd square number.

379977049 is the 9747-th centered octagonal number.

It is an amenable number.

379977049 is a deficient number, since it is larger than the sum of its proper divisors (5798180).

379977049 is an frugal number, since it uses more digits than its factorization.

379977049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 55.

The cubic root of 379977049 is about 724.3010617976.

The spelling of 379977049 in words is "three hundred seventy-nine million, nine hundred seventy-seven thousand, forty-nine".

Divisors: 1 101 193 10201 19493 37249 1968793 3762149 379977049