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2878732656 = 24338098237
BaseRepresentation
bin1010101110010101…
…1111100101110000
321102121211202211000
42223211133211300
521343423421111
61153353122000
7131223552402
oct25345374560
97377752730
102878732656
111247a734a8
126840b9300
1336b535807
141d447ab72
1511cadcc56
hexab95f970

2878732656 has 80 divisors (see below), whose sum is σ = 8274247200. Its totient is φ = 958275072.

The previous prime is 2878732651. The next prime is 2878732669. The reversal of 2878732656 is 6562378782.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2878732651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345370 + ... + 353606.

It is an arithmetic number, because the mean of its divisors is an integer number (103428090).

Almost surely, 22878732656 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 2878732656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4137123600).

2878732656 is an abundant number, since it is smaller than the sum of its proper divisors (5395514544).

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

2878732656 is a wasteful number, since it uses less digits than its factorization.

2878732656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9063 (or 9051 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 2878732656 is about 53653.8223801436. The cubic root of 2878732656 is about 1422.5485963900.

The spelling of 2878732656 in words is "two billion, eight hundred seventy-eight million, seven hundred thirty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 809 1618 2427 3236 4854 6472 7281 8237 9708 12944 14562 16474 19416 21843 24711 29124 32948 38832 43686 49422 58248 65896 74133 87372 98844 116496 131792 148266 174744 197688 222399 296532 349488 395376 444798 593064 889596 1186128 1779192 3558384 6663733 13327466 19991199 26654932 39982398 53309864 59973597 79964796 106619728 119947194 159929592 179920791 239894388 319859184 359841582 479788776 719683164 959577552 1439366328 2878732656