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1040449536 = 2183472
BaseRepresentation
bin111110000001000…
…000000000000000
32200111210022110000
4332001000000000
54112323341121
6251124240000
734532450400
oct7601000000
92614708400
101040449536
11494341155
12250540000
13137730519
149c27a800
1561521526
hex3e040000

1040449536 has 285 divisors, whose sum is σ = 3616007439. Its totient is φ = 297271296.

The previous prime is 1040449523. The next prime is 1040449541. The reversal of 1040449536 is 6359440401.

The square root of 1040449536 is 32256.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1040449536.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 148635645 + ... + 148635651.

Almost surely, 21040449536 is an apocalyptic number.

1040449536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1040449536 is the 32256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040449536

1040449536 is an abundant number, since it is smaller than the sum of its proper divisors (2575557903).

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

1040449536 is an frugal number, since it uses more digits than its factorization.

1040449536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The cubic root of 1040449536 is about 1013.3053608776.

Multiplying 1040449536 by its sum of digits (36), we get a square (37456183296 = 1935362).

1040449536 divided by its sum of digits (36) gives a square (28901376 = 53762).

Adding to 1040449536 its reverse (6359440401), we get a palindrome (7399889937).

The spelling of 1040449536 in words is "one billion, forty million, four hundred forty-nine thousand, five hundred thirty-six".