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1045134496 = 25731592551
BaseRepresentation
bin111110010010110…
…111110010100000
32200211121100000001
4332102313302200
54120023300441
6251412505344
734620332230
oct7622676240
92624540001
101045134496
11496a5101a
1225201b254
131386b0aa3
149cb39cc0
1561b49731
hex3e4b7ca0

1045134496 has 96 divisors (see below), whose sum is σ = 2469519360. Its totient is φ = 425952000.

The previous prime is 1045134481. The next prime is 1045134499. The reversal of 1045134496 is 6944315401.

It is a super-2 number, since 2×10451344962 = 2184612229458348032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1045134499) 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, 408421 + ... + 410971.

It is an arithmetic number, because the mean of its divisors is an integer number (25724160).

Almost surely, 21045134496 is an apocalyptic number.

1045134496 is a gapful number since it is divisible by the number (16) 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 1045134496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234759680).

1045134496 is an abundant number, since it is smaller than the sum of its proper divisors (1424384864).

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

1045134496 is a wasteful number, since it uses less digits than its factorization.

1045134496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 1045134496 is about 32328.5399608457. The cubic root of 1045134496 is about 1014.8239953015.

Adding to 1045134496 its reverse (6944315401), we get a palindrome (7989449897).

The spelling of 1045134496 in words is "one billion, forty-five million, one hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 59 62 112 118 124 217 224 236 248 413 434 472 496 826 868 944 992 1652 1736 1829 1888 2551 3304 3472 3658 5102 6608 6944 7316 10204 12803 13216 14632 17857 20408 25606 29264 35714 40816 51212 58528 71428 79081 81632 102424 142856 150509 158162 204848 285712 301018 316324 409696 553567 571424 602036 632648 1053563 1107134 1204072 1265296 2107126 2214268 2408144 2530592 4214252 4428536 4665779 4816288 8428504 8857072 9331558 16857008 17714144 18663116 32660453 33714016 37326232 65320906 74652464 130641812 149304928 261283624 522567248 1045134496