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4325413440 = 26355478237
BaseRepresentation
bin1000000011101000…
…01001001001000000
3102011110000202202210
410001310021021000
532324301212230
61553112342120
7212121256545
oct40164111100
912143022683
104325413440
11191a646157
12a086a4940
1353c17994a
142d0660bcc
151a4b03eb0
hex101d09240

4325413440 has 112 divisors (see below), whose sum is σ = 13759964352. Its totient is φ = 1151195136.

The previous prime is 4325413357. The next prime is 4325413483. The reversal of 4325413440 is 443145234.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4325413398 and 4325413407.

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, 521002 + ... + 529238.

Almost surely, 24325413440 is an apocalyptic number.

4325413440 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 4325413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879982176).

4325413440 is an abundant number, since it is smaller than the sum of its proper divisors (9434550912).

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

4325413440 is a wasteful number, since it uses less digits than its factorization.

4325413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8804 (or 8794 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 4325413440 is about 65767.8754408260. The cubic root of 4325413440 is about 1629.3305793687.

Adding to 4325413440 its reverse (443145234), we get a palindrome (4768558674).

The spelling of 4325413440 in words is "four billion, three hundred twenty-five million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 547 960 1094 1641 2188 2735 3282 4376 5470 6564 8205 8237 8752 10940 13128 16410 16474 17504 21880 24711 26256 32820 32948 35008 41185 43760 49422 52512 65640 65896 82370 87520 98844 105024 123555 131280 131792 164740 175040 197688 247110 262560 263584 329480 395376 494220 525120 527168 658960 790752 988440 1317920 1581504 1976880 2635840 3953760 4505639 7907520 9011278 13516917 18022556 22528195 27033834 36045112 45056390 54067668 67584585 72090224 90112780 108135336 135169170 144180448 180225560 216270672 270338340 288360896 360451120 432541344 540676680 720902240 865082688 1081353360 1441804480 2162706720 4325413440