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4264680288 = 2531116992377
BaseRepresentation
bin1111111000110001…
…1101101101100000
3102000012202012112210
43332030131231200
532213224232123
61543102522120
7210453120141
oct37614355540
912005665483
104264680288
111899334470
129b0296340
1352c70407b
142c6571ac8
1519e608e93
hexfe31db60

4264680288 has 96 divisors (see below), whose sum is σ = 12224822400. Its totient is φ = 1291023360.

The previous prime is 4264680271. The next prime is 4264680293. The reversal of 4264680288 is 8820864624.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 1792956 + ... + 1795332.

It is an arithmetic number, because the mean of its divisors is an integer number (127341900).

Almost surely, 24264680288 is an apocalyptic number.

4264680288 is a gapful number since it is divisible by the number (48) 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 4264680288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6112411200).

4264680288 is an abundant number, since it is smaller than the sum of its proper divisors (7960142112).

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

4264680288 is a wasteful number, since it uses less digits than its factorization.

4264680288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4100 (or 4092 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The square root of 4264680288 is about 65304.5196598214. The cubic root of 4264680288 is about 1621.6687939933.

The spelling of 4264680288 in words is "four billion, two hundred sixty-four million, six hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1699 2377 3398 4754 5097 6796 7131 9508 10194 13592 14262 18689 19016 20388 26147 27184 28524 37378 38032 40776 52294 54368 56067 57048 74756 76064 78441 81552 104588 112134 114096 149512 156882 163104 209176 224268 228192 299024 313764 418352 448536 598048 627528 836704 897072 1255056 1794144 2510112 4038523 8077046 12115569 16154092 24231138 32308184 44423753 48462276 64616368 88847506 96924552 129232736 133271259 177695012 193849104 266542518 355390024 387698208 533085036 710780048 1066170072 1421560096 2132340144 4264680288