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1438983900 = 223352618737
BaseRepresentation
bin101010111000101…
…0010011011011100
310201021200221211000
41111301102123130
510421334441100
6354442230300
750442106224
oct12561223334
93637627730
101438983900
116792a59a2
12341ab5390
1319c17a983
14d917d084
15864e5900
hex55c526dc

1438983900 has 144 divisors (see below), whose sum is σ = 4702442080. Its totient is φ = 377395200.

The previous prime is 1438983893. The next prime is 1438983911. The reversal of 1438983900 is 93898341.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160332 + ... + 169068.

Almost surely, 21438983900 is an apocalyptic number.

1438983900 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 1438983900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351221040).

1438983900 is an abundant number, since it is smaller than the sum of its proper divisors (3263458180).

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

1438983900 is a wasteful number, since it uses less digits than its factorization.

1438983900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8821 (or 8808 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1438983900 is about 37933.9412663646. The cubic root of 1438983900 is about 1128.9775647405.

It can be divided in two parts, 14389 and 83900, that added together give a palindrome (98289).

The spelling of 1438983900 in words is "one billion, four hundred thirty-eight million, nine hundred eighty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 61 75 90 100 108 122 135 150 180 183 225 244 270 300 305 366 450 540 549 610 675 732 900 915 1098 1220 1350 1525 1647 1830 2196 2700 2745 3050 3294 3660 4575 5490 6100 6588 8235 8737 9150 10980 13725 16470 17474 18300 26211 27450 32940 34948 41175 43685 52422 54900 78633 82350 87370 104844 131055 157266 164700 174740 218425 235899 262110 314532 393165 436850 471798 524220 532957 655275 786330 873700 943596 1065914 1179495 1310550 1572660 1598871 1965825 2131828 2358990 2621100 2664785 3197742 3931650 4717980 4796613 5329570 5897475 6395484 7863300 7994355 9593226 10659140 11794950 13323925 14389839 15988710 19186452 23589900 23983065 26647850 28779678 31977420 39971775 47966130 53295700 57559356 71949195 79943550 95932260 119915325 143898390 159887100 239830650 287796780 359745975 479661300 719491950 1438983900