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1042541532 = 2232293132213
BaseRepresentation
bin111110001000111…
…110101111011100
32200122201121010100
4332020332233130
54113342312112
6251241141100
734556312454
oct7610765734
92618647110
101042541532
1149553a97a
1225118a790
13137cb37a6
149c662d64
15617d62dc
hex3e23ebdc

1042541532 has 72 divisors (see below), whose sum is σ = 2814215040. Its totient is φ = 324696960.

The previous prime is 1042541497. The next prime is 1042541551. The reversal of 1042541532 is 2351452401.

1042541532 is a `hidden beast` number, since 104 + 25 + 4 + 1 + 532 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1042541496 and 1042541505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16258 + ... + 48470.

It is an arithmetic number, because the mean of its divisors is an integer number (39086320).

Almost surely, 21042541532 is an apocalyptic number.

1042541532 is a gapful number since it is divisible by the number (12) 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 1042541532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407107520).

1042541532 is an abundant number, since it is smaller than the sum of its proper divisors (1771673508).

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

1042541532 is a wasteful number, since it uses less digits than its factorization.

1042541532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32283 (or 32278 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1042541532 is about 32288.4117292876. The cubic root of 1042541532 is about 1013.9840455924.

Adding to 1042541532 its reverse (2351452401), we get a palindrome (3393993933).

The spelling of 1042541532 in words is "one billion, forty-two million, five hundred forty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 58 62 87 93 116 124 174 186 261 279 348 372 522 558 899 1044 1116 1798 2697 3596 5394 8091 10788 16182 32213 32364 64426 96639 128852 193278 289917 386556 579834 934177 998603 1159668 1868354 1997206 2802531 2995809 3736708 3994412 5605062 5991618 8407593 8987427 11210124 11983236 16815186 17974854 28959487 33630372 35949708 57918974 86878461 115837948 173756922 260635383 347513844 521270766 1042541532