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1032465424 = 242922772
BaseRepresentation
bin111101100010100…
…010110000010000
32122221202200022011
4331202202300100
54103302343144
6250241152304
734404545164
oct7542426020
92587680264
101032465424
1148a888611
1224992b694
13135b963b3
149b19cca4
1560995a34
hex3d8a2c10

1032465424 has 45 divisors (see below), whose sum is σ = 2079266007. Its totient is φ = 496632192.

The previous prime is 1032465419. The next prime is 1032465439. The reversal of 1032465424 is 4245642301.

The square root of 1032465424 is 32132.

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

It can be written as a sum of positive squares in 4 ways, for example, as 110250000 + 922215424 = 10500^2 + 30368^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3727174 + ... + 3727450.

Almost surely, 21032465424 is an apocalyptic number.

1032465424 is the 32132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032465424

1032465424 is an abundant number, since it is smaller than the sum of its proper divisors (1046800583).

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

1032465424 is an frugal number, since it uses more digits than its factorization.

1032465424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The cubic root of 1032465424 is about 1010.7067640804.

The spelling of 1032465424 in words is "one billion, thirty-two million, four hundred sixty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 116 232 277 464 554 841 1108 1682 2216 3364 4432 6728 8033 13456 16066 32132 64264 76729 128528 153458 232957 306916 465914 613832 931828 1227664 1863656 2225141 3727312 4450282 8900564 17801128 35602256 64529089 129058178 258116356 516232712 1032465424