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1040472832 = 2871930559
BaseRepresentation
bin111110000001000…
…101101100000000
32200111211111101211
4332001011230000
54112330112312
6251124535504
734532605330
oct7601055400
92614744354
101040472832
11494357703
12250551594
1313773acc9
149c2850c0
15615283a7
hex3e045b00

1040472832 has 72 divisors (see below), whose sum is σ = 2498585600. Its totient is φ = 422433792.

The previous prime is 1040472821. The next prime is 1040472857. The reversal of 1040472832 is 2382740401.

It is a junction number, because it is equal to n+sod(n) for n = 1040472794 and 1040472803.

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 7 ways as a sum of consecutive naturals, for example, 18769 + ... + 49327.

Almost surely, 21040472832 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 1040472832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249292800).

1040472832 is an abundant number, since it is smaller than the sum of its proper divisors (1458112768).

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

1040472832 is an equidigital number, since it uses as much as digits as its factorization.

1040472832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30601 (or 30587 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 1040472832 is about 32256.3611090898. The cubic root of 1040472832 is about 1013.3129235655.

The spelling of 1040472832 in words is "one billion, forty million, four hundred seventy-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 532 608 896 1064 1216 1792 2128 2432 4256 4864 8512 17024 30559 34048 61118 122236 213913 244472 427826 488944 580621 855652 977888 1161242 1711304 1955776 2322484 3422608 3911552 4064347 4644968 6845216 7823104 8128694 9289936 13690432 16257388 18579872 27380864 32514776 37159744 54761728 65029552 74319488 130059104 148638976 260118208 520236416 1040472832