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2888253264 = 243132463769
BaseRepresentation
bin1010110000100111…
…0011111101010000
321110021202110122010
42230021303331100
521403343101024
61154333142520
7131400514311
oct25411637520
97407673563
102888253264
111252386476
1268732aa40
133704ba100
141d5838608
1511d86db29
hexac273f50

2888253264 has 120 divisors (see below), whose sum is σ = 8107397760. Its totient is φ = 885620736.

The previous prime is 2888253227. The next prime is 2888253271. The reversal of 2888253264 is 4623528882.

2888253264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3755472 + ... + 3756240.

It is an arithmetic number, because the mean of its divisors is an integer number (67561648).

Almost surely, 22888253264 is an apocalyptic number.

2888253264 is a gapful number since it is divisible by the number (24) 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 2888253264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053698880).

2888253264 is an abundant number, since it is smaller than the sum of its proper divisors (5219144496).

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

2888253264 is a wasteful number, since it uses less digits than its factorization.

2888253264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1250 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 48.

The square root of 2888253264 is about 53742.4716960432. The cubic root of 2888253264 is about 1424.1150987427.

The spelling of 2888253264 in words is "two billion, eight hundred eighty-eight million, two hundred fifty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 463 507 624 676 769 926 1014 1352 1389 1538 1852 2028 2307 2704 2778 3076 3704 4056 4614 5556 6019 6152 7408 8112 9228 9997 11112 12038 12304 18057 18456 19994 22224 24076 29991 36114 36912 39988 48152 59982 72228 78247 79976 96304 119964 129961 144456 156494 159952 234741 239928 259922 288912 312988 356047 389883 469482 479856 519844 625976 712094 779766 938964 1039688 1068141 1251952 1424188 1559532 1877928 2079376 2136282 2848376 3119064 3755856 4272564 4628611 5696752 6238128 8545128 9257222 13885833 17090256 18514444 27771666 37028888 55543332 60171943 74057776 111086664 120343886 180515829 222173328 240687772 361031658 481375544 722063316 962751088 1444126632 2888253264