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1045125336 = 2332397131149
BaseRepresentation
bin111110010010110…
…101100011011000
32200211120212102210
4332102311203120
54120023002321
6251412355120
734620263433
oct7622654330
92624525383
101045125336
11496a45152
12252015aa0
131386a9878
149cb3681a
1561b46b76
hex3e4b58d8

1045125336 has 128 divisors (see below), whose sum is σ = 2794176000. Its totient is φ = 325079040.

The previous prime is 1045125329. The next prime is 1045125349. The reversal of 1045125336 is 6335215401.

It is a super-2 number, since 2×10451253362 = 2184573935898225792, 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 31 ways as a sum of consecutive naturals, for example, 7014190 + ... + 7014338.

It is an arithmetic number, because the mean of its divisors is an integer number (21829500).

Almost surely, 21045125336 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 1045125336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397088000).

1045125336 is an abundant number, since it is smaller than the sum of its proper divisors (1749050664).

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

1045125336 is a wasteful number, since it uses less digits than its factorization.

1045125336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 1045125336 is about 32328.3982900483. The cubic root of 1045125336 is about 1014.8210305109.

The spelling of 1045125336 in words is "one billion, forty-five million, one hundred twenty-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 97 131 138 149 184 194 262 276 291 298 388 393 447 524 552 582 596 776 786 894 1048 1164 1192 1572 1788 2231 2328 3013 3144 3427 3576 4462 6026 6693 6854 8924 9039 10281 12052 12707 13386 13708 14453 17848 18078 19519 20562 24104 25414 26772 27416 28906 36156 38121 39038 41124 43359 50828 53544 57812 58557 72312 76242 78076 82248 86718 101656 115624 117114 152484 156152 173436 234228 292261 304968 332419 346872 448937 468456 584522 664838 876783 897874 997257 1169044 1329676 1346811 1753566 1795748 1893343 1994514 2338088 2659352 2693622 3507132 3591496 3786686 3989028 5387244 5680029 7014264 7573372 7978056 10774488 11360058 15146744 22720116 43546889 45440232 87093778 130640667 174187556 261281334 348375112 522562668 1045125336