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2041903152 = 2432591491613
BaseRepresentation
bin111100110110100…
…1111100000110000
312021022012102112200
41321231033200300
513140211400102
6534341023200
7101412614262
oct17155174060
95238172480
102041903152
11958668073
1248b9b4b00
13267059223
14155285b32
15be3dd51c
hex79b4f830

2041903152 has 120 divisors (see below), whose sum is σ = 5853978000. Its totient is φ = 664195584.

The previous prime is 2041903139. The next prime is 2041903159. The reversal of 2041903152 is 2513091402.

It is not an unprimeable number, because it can be changed into a prime (2041903159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1265098 + ... + 1266710.

It is an arithmetic number, because the mean of its divisors is an integer number (48783150).

Almost surely, 22041903152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041903152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926989000).

2041903152 is an abundant number, since it is smaller than the sum of its proper divisors (3812074848).

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

2041903152 is a wasteful number, since it uses less digits than its factorization.

2041903152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2041903152 is about 45187.4224978588. The cubic root of 2041903152 is about 1268.6594141381.

Adding to 2041903152 its reverse (2513091402), we get a palindrome (4554994554).

The spelling of 2041903152 in words is "two billion, forty-one million, nine hundred three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 149 177 236 298 354 447 472 531 596 708 894 944 1062 1192 1341 1416 1613 1788 2124 2384 2682 2832 3226 3576 4248 4839 5364 6452 7152 8496 8791 9678 10728 12904 14517 17582 19356 21456 25808 26373 29034 35164 38712 52746 58068 70328 77424 79119 95167 105492 116136 140656 158238 190334 210984 232272 240337 285501 316476 380668 421968 480674 571002 632952 721011 761336 856503 961348 1142004 1265904 1442022 1522672 1713006 1922696 2163033 2284008 2884044 3426012 3845392 4326066 4568016 5768088 6852024 8652132 11536176 13704048 14179883 17304264 28359766 34608528 42539649 56719532 85079298 113439064 127618947 170158596 226878128 255237894 340317192 510475788 680634384 1020951576 2041903152