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4296478752 = 253223228201
BaseRepresentation
bin1000000000001011…
…10001000000100000
3102002102120201211200
410000011301000200
532244344310002
61550200241200
7211320316056
oct40005610040
912072521750
104296478752
111905283095
129baa70200
13536188827
142ca88c1d6
151a22dab1c
hex100171020

4296478752 has 108 divisors (see below), whose sum is σ = 12772883214. Its totient is φ = 1369843200.

The previous prime is 4296478733. The next prime is 4296478757. The reversal of 4296478752 is 2578746924.

It can be written as a sum of positive squares in only one way, i.e., 3391431696 + 905047056 = 58236^2 + 30084^2 .

It is not an unprimeable number, because it can be changed into a prime (4296478757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 138252 + ... + 166452.

Almost surely, 24296478752 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 4296478752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6386441607).

4296478752 is an abundant number, since it is smaller than the sum of its proper divisors (8476404462).

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

4296478752 is a wasteful number, since it uses less digits than its factorization.

4296478752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28263 (or 28229 counting only the distinct ones).

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

The square root of 4296478752 is about 65547.5304797976. The cubic root of 4296478752 is about 1625.6893330392.

The spelling of 4296478752 in words is "four billion, two hundred ninety-six million, four hundred seventy-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 529 552 736 828 1058 1104 1587 1656 2116 2208 3174 3312 4232 4761 6348 6624 8464 9522 12696 16928 19044 25392 28201 38088 50784 56402 76176 84603 112804 152352 169206 225608 253809 338412 451216 507618 648623 676824 902432 1015236 1297246 1353648 1945869 2030472 2594492 2707296 3891738 4060944 5188984 5837607 7783476 8121888 10377968 11675214 14918329 15566952 20755936 23350428 29836658 31133904 44754987 46700856 59673316 62267808 89509974 93401712 119346632 134264961 179019948 186803424 238693264 268529922 358039896 477386528 537059844 716079792 1074119688 1432159584 2148239376 4296478752