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1053504496 = 241131353547
BaseRepresentation
bin111110110010110…
…011001111110000
32201102100120111001
4332302303033300
54124144120441
6252312131344
735051432452
oct7662631760
92642316431
101053504496
114a0748580
12254996b54
1313a351755
149dcb82d2
156274e731
hex3ecb33f0

1053504496 has 80 divisors (see below), whose sum is σ = 2309280768. Its totient is φ = 461260800.

The previous prime is 1053504469. The next prime is 1053504499. The reversal of 1053504496 is 6944053501.

It is a super-2 number, since 2×10535044962 = 2219743446184428032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053504499) 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, 1925695 + ... + 1926241.

Almost surely, 21053504496 is an apocalyptic number.

1053504496 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 1053504496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154640384).

1053504496 is an abundant number, since it is smaller than the sum of its proper divisors (1255776272).

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

1053504496 is a wasteful number, since it uses less digits than its factorization.

1053504496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 1053504496 is about 32457.7339936108. The cubic root of 1053504496 is about 1017.5258810957.

Adding to 1053504496 its reverse (6944053501), we get a palindrome (7997557997).

The spelling of 1053504496 in words is "one billion, fifty-three million, five hundred four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 353 496 547 682 706 1094 1364 1412 2188 2728 2824 3883 4376 5456 5648 6017 7766 8752 10943 12034 15532 16957 21886 24068 31064 33914 43772 48136 62128 67828 87544 96272 120373 135656 175088 186527 193091 240746 271312 373054 386182 481492 746108 772364 962984 1492216 1544728 1925968 2124001 2984432 3089456 4248002 5985821 8496004 11971642 16992008 23943284 33984016 47886568 65844031 95773136 131688062 263376124 526752248 1053504496