Search a number
-
+
4380152352 = 25337532439
BaseRepresentation
bin1000001010001001…
…11101001000100000
3102022021000210102220
410011010331020200
532432304333402
62002345511040
7213354452322
oct40504751040
912267023386
104380152352
111948533324
12a22aa2480
1354a604034
142d7a2d612
151a9817dbc
hex10513d220

4380152352 has 144 divisors (see below), whose sum is σ = 12063078720. Its totient is φ = 1390611456.

The previous prime is 4380152341. The next prime is 4380152401. The reversal of 4380152352 is 2532510834.

It is a super-2 number, since 2×43801523522 = 38371469253462263808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9977349 + ... + 9977787.

It is an arithmetic number, because the mean of its divisors is an integer number (83771380).

Almost surely, 24380152352 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 4380152352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6031539360).

4380152352 is an abundant number, since it is smaller than the sum of its proper divisors (7682926368).

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

4380152352 is a wasteful number, since it uses less digits than its factorization.

4380152352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 4380152352 is about 66182.7194364209. The cubic root of 4380152352 is about 1636.1749483623.

The spelling of 4380152352 in words is "four billion, three hundred eighty million, one hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 53 74 96 106 111 148 159 212 222 296 318 424 439 444 592 636 848 878 888 1184 1272 1317 1696 1756 1776 1961 2544 2634 2809 3512 3552 3922 5088 5268 5618 5883 7024 7844 8427 10536 11236 11766 14048 15688 16243 16854 21072 22472 23267 23532 31376 32486 33708 42144 44944 46534 47064 48729 62752 64972 67416 69801 89888 93068 94128 97458 103933 129944 134832 139602 186136 188256 194916 207866 259888 269664 279204 311799 372272 389832 415732 519776 558408 623598 744544 779664 831464 860879 1116816 1233151 1247196 1559328 1662928 1721758 2233632 2466302 2494392 2582637 3325856 3443516 3699453 4932604 4988784 5165274 6887032 7398906 9865208 9977568 10330548 13774064 14797812 19730416 20661096 27548128 29595624 39460832 41322192 45626587 59191248 82644384 91253174 118382496 136879761 182506348 273759522 365012696 547519044 730025392 1095038088 1460050784 2190076176 4380152352