Search a number
-
+
4052408320 = 21151723279
BaseRepresentation
bin1111000110001010…
…1101100000000000
3101110102022200011001
43301202231200000
531244404031240
61510041101344
7202264621342
oct36142554000
911412280131
104052408320
11179a52a394
12951187854
134c774105c
142a62b7292
1518ab7889a
hexf18ad800

4052408320 has 96 divisors (see below), whose sum is σ = 10295812800. Its totient is φ = 1525547008.

The previous prime is 4052408317. The next prime is 4052408323. The reversal of 4052408320 is 238042504.

It is an interprime number because it is at equal distance from previous prime (4052408317) and next prime (4052408323).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4052408323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162441 + ... + 185719.

It is an arithmetic number, because the mean of its divisors is an integer number (107248050).

Almost surely, 24052408320 is an apocalyptic number.

4052408320 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 4052408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5147906400).

4052408320 is an abundant number, since it is smaller than the sum of its proper divisors (6243404480).

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

4052408320 is a wasteful number, since it uses less digits than its factorization.

4052408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23323 (or 23303 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 4052408320 is about 63658.5290436403. The cubic root of 4052408320 is about 1594.3037444869.

The spelling of 4052408320 in words is "four billion, fifty-two million, four hundred eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1024 1088 1280 1360 2048 2176 2560 2720 4352 5120 5440 8704 10240 10880 17408 21760 23279 34816 43520 46558 87040 93116 116395 174080 186232 232790 372464 395743 465580 744928 791486 931160 1489856 1582972 1862320 1978715 2979712 3165944 3724640 3957430 5959424 6331888 7449280 7914860 11918848 12663776 14898560 15829720 23837696 25327552 29797120 31659440 47675392 50655104 59594240 63318880 101310208 119188480 126637760 202620416 238376960 253275520 405240832 506551040 810481664 1013102080 2026204160 4052408320