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2928046080 = 2123547657
BaseRepresentation
bin1010111010000110…
…0111000000000000
321120001122011010010
42232201213000000
521444034433310
61202314104520
7132362660331
oct25641470000
97501564103
102928046080
1112728953a3
1269871b140
1337881055b
141dac36288
151220ce320
hexae867000

2928046080 has 104 divisors (see below), whose sum is σ = 9368800272. Its totient is φ = 780795904.

The previous prime is 2928046067. The next prime is 2928046117. The reversal of 2928046080 is 806408292.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 37612 + ... + 85268.

It is an arithmetic number, because the mean of its divisors is an integer number (90084618).

Almost surely, 22928046080 is an apocalyptic number.

2928046080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2928046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4684400136).

2928046080 is an abundant number, since it is smaller than the sum of its proper divisors (6440754192).

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

2928046080 is an equidigital number, since it uses as much as digits as its factorization.

2928046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47689 (or 47667 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 2928046080 is about 54111.4228236516. The cubic root of 2928046080 is about 1430.6255238502.

The spelling of 2928046080 in words is "two billion, nine hundred twenty-eight million, forty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 10240 12288 15360 20480 30720 47657 61440 95314 142971 190628 238285 285942 381256 476570 571884 714855 762512 953140 1143768 1429710 1525024 1906280 2287536 2859420 3050048 3812560 4575072 5718840 6100096 7625120 9150144 11437680 12200192 15250240 18300288 22875360 24400384 30500480 36600576 45750720 48800768 61000960 73201152 91501440 97601536 122001920 146402304 183002880 195203072 244003840 292804608 366005760 488007680 585609216 732011520 976015360 1464023040 2928046080