Search a number
-
+
1044914200 = 2352112112251
BaseRepresentation
bin111110010010000…
…010000000011000
32200211012010210221
4332102002000120
54114444223300
6251404045424
734615424041
oct7622020030
92624163727
101044914200
11496910560
12251b33874
13138634735
149cabd8c8
1561b0431a
hex3e482018

1044914200 has 96 divisors (see below), whose sum is σ = 2664025920. Its totient is φ = 378000000.

The previous prime is 1044914183. The next prime is 1044914237. The reversal of 1044914200 is 24194401.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463075 + ... + 465325.

It is an arithmetic number, because the mean of its divisors is an integer number (27750270).

Almost surely, 21044914200 is an apocalyptic number.

1044914200 is a gapful number since it is divisible by the number (10) 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 1044914200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332012960).

1044914200 is an abundant number, since it is smaller than the sum of its proper divisors (1619111720).

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

1044914200 is a wasteful number, since it uses less digits than its factorization.

1044914200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 1044914200 is about 32325.1326370055. The cubic root of 1044914200 is about 1014.7526879316.

It can be divided in two parts, 10449 and 14200, that added together give a square (24649 = 1572).

The spelling of 1044914200 in words is "one billion, forty-four million, nine hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 211 220 275 422 440 550 844 1055 1100 1688 2110 2200 2251 2321 4220 4502 4642 5275 8440 9004 9284 10550 11255 11605 18008 18568 21100 22510 23210 24761 42200 45020 46420 49522 56275 58025 90040 92840 99044 112550 116050 123805 198088 225100 232100 247610 450200 464200 474961 495220 619025 949922 990440 1238050 1899844 2374805 2476100 3799688 4749610 4952200 5224571 9499220 10449142 11874025 18998440 20898284 23748050 26122855 41796568 47496100 52245710 94992200 104491420 130614275 208982840 261228550 522457100 1044914200