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1900045524 = 2231319233739
BaseRepresentation
bin111000101000000…
…0110010011010100
311220102021022110110
41301100012103110
512342402424044
6512312323020
765041056216
oct16120062324
94812238413
101900045524
11895587363
124503a3470
1324384b4c0
141404ba5b6
15b1c1b6b9
hex714064d4

1900045524 has 72 divisors (see below), whose sum is σ = 5039136480. Its totient is φ = 553843008.

The previous prime is 1900045517. The next prime is 1900045541. The reversal of 1900045524 is 4255400091.

It is a super-2 number, since 2×19000455242 = 7220345986544869152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1900045491 and 1900045500.

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, 39447 + ... + 73185.

Almost surely, 21900045524 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 1900045524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519568240).

1900045524 is an abundant number, since it is smaller than the sum of its proper divisors (3139090956).

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

1900045524 is a wasteful number, since it uses less digits than its factorization.

1900045524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33797 (or 33776 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1900045524 is about 43589.5116283723. The cubic root of 1900045524 is about 1238.5722215356.

The spelling of 1900045524 in words is "one billion, nine hundred million, forty-five thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 361 494 722 741 988 1083 1444 1482 2166 2964 4332 4693 9386 14079 18772 28158 33739 56316 67478 101217 134956 202434 404868 438607 641041 877214 1282082 1315821 1754428 1923123 2564164 2631642 3846246 5263284 7692492 8333533 12179779 16667066 24359558 25000599 33334132 36539337 48719116 50001198 73078674 100002396 146157348 158337127 316674254 475011381 633348508 950022762 1900045524