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1958387052 = 2232913741077
BaseRepresentation
bin111010010111010…
…1001110101101100
312001111001100222210
41310232221311230
513002321341202
6522155010420
766350005146
oct16456516554
95044040883
101958387052
119155051a6
12467a39a10
1325296760b
14148145c96
15b6de2c6c
hex74ba9d6c

1958387052 has 48 divisors (see below), whose sum is σ = 4761761760. Its totient is φ = 625669632.

The previous prime is 1958387051. The next prime is 1958387111. The reversal of 1958387052 is 2507838591.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1958386992 and 1958387010.

It is not an unprimeable number, because it can be changed into a prime (1958387051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27138 + ... + 68214.

It is an arithmetic number, because the mean of its divisors is an integer number (99203370).

Almost surely, 21958387052 is an apocalyptic number.

1958387052 is a gapful number since it is divisible by the number (12) 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 1958387052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380880880).

1958387052 is an abundant number, since it is smaller than the sum of its proper divisors (2803374708).

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

1958387052 is a wasteful number, since it uses less digits than its factorization.

1958387052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41250 (or 41248 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The square root of 1958387052 is about 44253.6671022866. The cubic root of 1958387052 is about 1251.1215644669.

The spelling of 1958387052 in words is "one billion, nine hundred fifty-eight million, three hundred eighty-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 137 174 274 348 411 548 822 1644 3973 7946 11919 15892 23838 41077 47676 82154 123231 164308 246462 492924 1191233 2382466 3573699 4764932 5627549 7147398 11255098 14294796 16882647 22510196 33765294 67530588 163198921 326397842 489596763 652795684 979193526 1958387052