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1042352544 = 25379167823
BaseRepresentation
bin111110001000010…
…000100110100000
32200122100222212210
4332020100212200
54113320240134
6251233122120
734554564462
oct7610204640
92618328783
101042352544
11495420992
122510b9340
13137c4876c
149c614132
156179a2e9
hex3e2109a0

1042352544 has 96 divisors (see below), whose sum is σ = 2790789120. Its totient is φ = 340584192.

The previous prime is 1042352497. The next prime is 1042352573. The reversal of 1042352544 is 4452532401.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1266117 + ... + 1266939.

It is an arithmetic number, because the mean of its divisors is an integer number (29070720).

Almost surely, 21042352544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042352544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395394560).

1042352544 is an abundant number, since it is smaller than the sum of its proper divisors (1748436576).

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

1042352544 is a wasteful number, since it uses less digits than its factorization.

1042352544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 1042352544 is about 32285.4850358485. The cubic root of 1042352544 is about 1013.9227714875.

Adding to 1042352544 its reverse (4452532401), we get a palindrome (5494884945).

The spelling of 1042352544 in words is "one billion, forty-two million, three hundred fifty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 167 237 316 334 474 501 632 668 823 948 1002 1264 1336 1646 1896 2004 2469 2528 2672 3292 3792 4008 4938 5344 6584 7584 8016 9876 13168 13193 16032 19752 26336 26386 39504 39579 52772 65017 79008 79158 105544 130034 137441 158316 195051 211088 260068 274882 316632 390102 412323 422176 520136 549764 633264 780204 824646 1040272 1099528 1266528 1560408 1649292 2080544 2199056 3120816 3298584 4398112 6241632 6597168 10857839 13194336 21715678 32573517 43431356 65147034 86862712 130294068 173725424 260588136 347450848 521176272 1042352544