Search a number
-
+
1061252448 = 253192920063
BaseRepresentation
bin111111010000010…
…110110101100000
32201221221012200020
4333100112311200
54133140034243
6253150153440
735204332314
oct7720266540
92657835606
101061252448
114a505a743
122574b2880
1313bb35239
14a0d33b44
1563280283
hex3f416d60

1061252448 has 96 divisors (see below), whose sum is σ = 3033676800. Its totient is φ = 323559936.

The previous prime is 1061252431. The next prime is 1061252483. The reversal of 1061252448 is 8442521601.

It is a happy number.

1061252448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10612524482 = 2252513516771985408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42865 + ... + 62927.

It is an arithmetic number, because the mean of its divisors is an integer number (31600800).

Almost surely, 21061252448 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 1061252448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516838400).

1061252448 is an abundant number, since it is smaller than the sum of its proper divisors (1972424352).

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

1061252448 is a wasteful number, since it uses less digits than its factorization.

1061252448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20124 (or 20116 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 1061252448 is about 32576.8698312161. The cubic root of 1061252448 is about 1020.0142404778.

The spelling of 1061252448 in words is "one billion, sixty-one million, two hundred fifty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 76 87 96 114 116 152 174 228 232 304 348 456 464 551 608 696 912 928 1102 1392 1653 1824 2204 2784 3306 4408 6612 8816 13224 17632 20063 26448 40126 52896 60189 80252 120378 160504 240756 321008 381197 481512 581827 642016 762394 963024 1143591 1163654 1524788 1745481 1926048 2287182 2327308 3049576 3490962 4574364 4654616 6099152 6981924 9148728 9309232 11054713 12198304 13963848 18297456 18618464 22109426 27927696 33164139 36594912 44218852 55855392 66328278 88437704 132656556 176875408 265313112 353750816 530626224 1061252448