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4275952320 = 263541108637
BaseRepresentation
bin1111111011011101…
…1101101011000000
3102000222221212212110
43332313131223000
532224120433240
61544144255320
7210650665203
oct37667355300
912028855773
104275952320
1118a47332a2
129b4011540
13531b4c903
142c7c6793a
151a05d3c80
hexfedddac0

4275952320 has 112 divisors (see below), whose sum is σ = 13907402208. Its totient is φ = 1112432640.

The previous prime is 4275952313. The next prime is 4275952321. The reversal of 4275952320 is 232595724.

It is not an unprimeable number, because it can be changed into a prime (4275952321) 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, 14959 + ... + 93678.

It is an arithmetic number, because the mean of its divisors is an integer number (124173234).

Almost surely, 24275952320 is an apocalyptic number.

4275952320 is a gapful number since it is divisible by the number (40) 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 4275952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6953701104).

4275952320 is an abundant number, since it is smaller than the sum of its proper divisors (9631449888).

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

4275952320 is a wasteful number, since it uses less digits than its factorization.

4275952320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108698 (or 108688 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 4275952320 is about 65390.7663206358. The cubic root of 4275952320 is about 1623.0962883565.

The spelling of 4275952320 in words is "four billion, two hundred seventy-five million, nine hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 160 164 192 205 240 246 320 328 410 480 492 615 656 820 960 984 1230 1312 1640 1968 2460 2624 3280 3936 4920 6560 7872 9840 13120 19680 39360 108637 217274 325911 434548 543185 651822 869096 1086370 1303644 1629555 1738192 2172740 2607288 3259110 3476384 4345480 4454117 5214576 6518220 6952768 8690960 8908234 10429152 13036440 13362351 17381920 17816468 20858304 22270585 26072880 26724702 34763840 35632936 44541170 52145760 53449404 66811755 71265872 89082340 104291520 106898808 133623510 142531744 178164680 213797616 267247020 285063488 356329360 427595232 534494040 712658720 855190464 1068988080 1425317440 2137976160 4275952320