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3790144148 = 2272310357139
BaseRepresentation
bin1110000111101001…
…0000001010010100
3100210010211021100012
43201322100022110
530230234103043
61424031535352
7162631456640
oct34172201224
910703737305
103790144148
11167548a43a
1289938a558
134852c635b
1427d527c20
15172b20a18
hexe1e90294

3790144148 has 48 divisors (see below), whose sum is σ = 7986800640. Its totient is φ = 1538612064.

The previous prime is 3790144133. The next prime is 3790144151. The reversal of 3790144148 is 8414410973.

It is a super-3 number, since 3×37901441483 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37763 + ... + 94901.

It is an arithmetic number, because the mean of its divisors is an integer number (166391680).

Almost surely, 23790144148 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 3790144148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993400320).

3790144148 is an abundant number, since it is smaller than the sum of its proper divisors (4196656492).

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

3790144148 is a wasteful number, since it uses less digits than its factorization.

3790144148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57276 (or 57274 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 3790144148 is about 61564.1466114816. The cubic root of 3790144148 is about 1559.1404628303.

The spelling of 3790144148 in words is "three billion, seven hundred ninety million, one hundred forty-four thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 23 28 46 92 103 161 206 322 412 644 721 1442 2369 2884 4738 9476 16583 33166 57139 66332 114278 228556 399973 799946 1314197 1599892 2628394 5256788 5885317 9199379 11770634 18398758 23541268 36797516 41197219 82394438 135362291 164788876 270724582 541449164 947536037 1895072074 3790144148