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1058378928 = 243179531361
BaseRepresentation
bin111111000101011…
…001010010110000
32201202112012221120
4333011121102300
54131421111203
6253004422240
735141033565
oct7705312260
92652465846
101058378928
114a3477832
12256547980
1313b36a329
14a07c686c
1562db3b53
hex3f1594b0

1058378928 has 80 divisors (see below), whose sum is σ = 2900144736. Its totient is φ = 331448320.

The previous prime is 1058378927. The next prime is 1058378929. The reversal of 1058378928 is 8298738501.

1058378928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1058378927) and next prime (1058378929).

It is a super-3 number, since 3×10583789283 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (1058378927) 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, 776968 + ... + 778328.

Almost surely, 21058378928 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 1058378928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450072368).

1058378928 is an abundant number, since it is smaller than the sum of its proper divisors (1841765808).

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

1058378928 is a wasteful number, since it uses less digits than its factorization.

1058378928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The square root of 1058378928 is about 32532.7362513515. The cubic root of 1058378928 is about 1019.0927881150.

The spelling of 1058378928 in words is "one billion, fifty-eight million, three hundred seventy-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 953 1361 1906 2722 2859 3812 4083 5444 5718 7624 8166 10888 11436 15248 16201 16332 21776 22872 23137 32402 32664 45744 46274 48603 64804 65328 69411 92548 97206 129608 138822 185096 194412 259216 277644 370192 388824 555288 777648 1110576 1297033 2594066 3891099 5188132 7782198 10376264 15564396 20752528 22049561 31128792 44099122 62257584 66148683 88198244 132297366 176396488 264594732 352792976 529189464 1058378928