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3077979648 = 2938092477
BaseRepresentation
bin1011011101110110…
…0011111000000000
321221111202120022020
42313131203320000
522300430322043
61225231441440
7136163252412
oct26735437000
97844676266
103077979648
11133a491737
1271a986280
133a08b8143
14212b049b2
15130348e83
hexb7763e00

3077979648 has 80 divisors (see below), whose sum is σ = 8213380560. Its totient is φ = 1024311296.

The previous prime is 3077979647. The next prime is 3077979661. The reversal of 3077979648 is 8469797703.

3077979648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3077979591 and 3077979600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3077979647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1241386 + ... + 1243862.

It is an arithmetic number, because the mean of its divisors is an integer number (102667257).

Almost surely, 23077979648 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 3077979648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106690280).

3077979648 is an abundant number, since it is smaller than the sum of its proper divisors (5135400912).

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

3077979648 is an equidigital number, since it uses as much as digits as its factorization.

3077979648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3307 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 60.

The square root of 3077979648 is about 55479.5426080641. The cubic root of 3077979648 is about 1454.6390696717.

The spelling of 3077979648 in words is "three billion, seventy-seven million, nine hundred seventy-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 809 1536 1618 2427 2477 3236 4854 4954 6472 7431 9708 9908 12944 14862 19416 19816 25888 29724 38832 39632 51776 59448 77664 79264 103552 118896 155328 158528 207104 237792 310656 317056 414208 475584 621312 634112 951168 1242624 1268224 1902336 2003893 3804672 4007786 6011679 8015572 12023358 16031144 24046716 32062288 48093432 64124576 96186864 128249152 192373728 256498304 384747456 512996608 769494912 1025993216 1538989824 3077979648