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1053522440 = 235299532
BaseRepresentation
bin111110110010110…
…111101000001000
32201102101111002122
4332302313220020
54124200204230
6252312350412
735051535665
oct7662675010
92642344078
101053522440
114a0760003
122549a5408
1313a359979
149dcc0a6c
1562754be5
hex3ecb7a08

1053522440 has 48 divisors (see below), whose sum is σ = 2454740100. Its totient is φ = 406450688.

The previous prime is 1053522439. The next prime is 1053522443. The reversal of 1053522440 is 442253501.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 378458116 + 675064324 = 19454^2 + 25982^2 .

It is a super-2 number, since 2×10535224402 = 2219819063167107200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053522443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1105004 + ... + 1105956.

Almost surely, 21053522440 is an apocalyptic number.

1053522440 is a gapful number since it is divisible by the number (10) 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 1053522440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227370050).

1053522440 is an abundant number, since it is smaller than the sum of its proper divisors (1401217660).

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

1053522440 is an frugal number, since it uses more digits than its factorization.

1053522440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 1053522440 is about 32458.0104134557. The cubic root of 1053522440 is about 1017.5316581255.

Adding to 1053522440 its reverse (442253501), we get a palindrome (1495775941).

The spelling of 1053522440 in words is "one billion, fifty-three million, five hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 953 1160 1906 3812 4765 7624 9530 19060 27637 38120 55274 110548 138185 221096 276370 552740 908209 1105480 1816418 3632836 4541045 7265672 9082090 18164180 26338061 36328360 52676122 105352244 131690305 210704488 263380610 526761220 1053522440