Search a number
-
+
2898104000 = 26531132933
BaseRepresentation
bin1010110010111101…
…1000111011000000
321110222021221022012
42230233120323000
521413403312000
61155324232052
7131550322541
oct25457307300
97428257265
102898104000
1112579a4480
1268a69b628
13372558a4c
141d6c804c8
1511e667735
hexacbd8ec0

2898104000 has 112 divisors (see below), whose sum is σ = 7829860896. Its totient is φ = 1053824000.

The previous prime is 2898103997. The next prime is 2898104003. The reversal of 2898104000 is 4018982.

It is a happy number.

2898104000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2898103997) and next prime (2898104003).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2898104003) 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, 71534 + ... + 104466.

Almost surely, 22898104000 is an apocalyptic number.

2898104000 is a gapful number since it is divisible by the number (20) 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 2898104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914930448).

2898104000 is an abundant number, since it is smaller than the sum of its proper divisors (4931756896).

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

2898104000 is a wasteful number, since it uses less digits than its factorization.

2898104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32971 (or 32951 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 2898104000 is about 53834.0412750148. The cubic root of 2898104000 is about 1425.7323003311.

The spelling of 2898104000 in words is "two billion, eight hundred ninety-eight million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 704 800 880 1000 1100 1375 1600 1760 2000 2200 2750 3520 4000 4400 5500 8000 8800 11000 17600 22000 32933 44000 65866 88000 131732 164665 263464 329330 362263 526928 658660 724526 823325 1053856 1317320 1449052 1646650 1811315 2107712 2634640 2898104 3293300 3622630 4116625 5269280 5796208 6586600 7245260 8233250 9056575 10538560 11592416 13173200 14490520 16466500 18113150 23184832 26346400 28981040 32933000 36226300 45282875 52692800 57962080 65866000 72452600 90565750 115924160 131732000 144905200 181131500 263464000 289810400 362263000 579620800 724526000 1449052000 2898104000