Search a number
-
+
4000880000 = 2754133847
BaseRepresentation
bin1110111001111000…
…1001010110000000
3101022211100202120202
43232132021112000
531143211130000
61501000424332
7201100630115
oct35636112600
911284322522
104000880000
1117734353a7
12937a780a8
134b9b6c120
1429d50290c
1518639add5
hexee789580

4000880000 has 160 divisors (see below), whose sum is σ = 10728878160. Its totient is φ = 1476864000.

The previous prime is 4000879997. The next prime is 4000880021. The reversal of 4000880000 is 880004.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1038077 + ... + 1041923.

Almost surely, 24000880000 is an apocalyptic number.

4000880000 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 4000880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5364439080).

4000880000 is an abundant number, since it is smaller than the sum of its proper divisors (6727998160).

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

4000880000 is an equidigital number, since it uses as much as digits as its factorization.

4000880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894 (or 3867 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 4000880000 is about 63252.5098316264. The cubic root of 4000880000 is about 1587.5174528430.

The spelling of 4000880000 in words is "four billion, eight hundred eighty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 260 320 325 400 416 500 520 625 640 650 800 832 1000 1040 1250 1300 1600 1625 1664 2000 2080 2500 2600 3200 3250 3847 4000 4160 5000 5200 6500 7694 8000 8125 8320 10000 10400 13000 15388 16000 16250 19235 20000 20800 26000 30776 32500 38470 40000 41600 50011 52000 61552 65000 76940 80000 96175 100022 104000 123104 130000 153880 192350 200044 208000 246208 250055 260000 307760 384700 400088 480875 492416 500110 520000 615520 769400 800176 961750 1000220 1040000 1231040 1250275 1538800 1600352 1923500 2000440 2404375 2462080 2500550 3077600 3200704 3847000 4000880 4808750 5001100 6155200 6251375 6401408 7694000 8001760 9617500 10002200 12310400 12502750 15388000 16003520 19235000 20004400 25005500 30776000 31256875 32007040 38470000 40008800 50011000 61552000 62513750 76940000 80017600 100022000 125027500 153880000 160035200 200044000 250055000 307760000 400088000 500110000 800176000 1000220000 2000440000 4000880000