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1457969632 = 25723282991
BaseRepresentation
bin101011011100110…
…1101100111100000
310202121102112100021
41112321231213200
510441220012012
6400401203224
751062352220
oct12671554740
93677375307
101457969632
11688a93189
12348330514
131a3097532
14db8c2080
1587ee6007
hex56e6d9e0

1457969632 has 48 divisors (see below), whose sum is σ = 3423071232. Its totient is φ = 597674880.

The previous prime is 1457969599. The next prime is 1457969641. The reversal of 1457969632 is 2369697541.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1457969632.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136344 + ... + 146647.

It is an arithmetic number, because the mean of its divisors is an integer number (71313984).

Almost surely, 21457969632 is an apocalyptic number.

It is an amenable number.

1457969632 is an abundant number, since it is smaller than the sum of its proper divisors (1965101600).

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

1457969632 is a wasteful number, since it uses less digits than its factorization.

1457969632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283031 (or 283023 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 52.

The square root of 1457969632 is about 38183.3685261005. The cubic root of 1457969632 is about 1133.9210721589.

The spelling of 1457969632 in words is "one billion, four hundred fifty-seven million, nine hundred sixty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 5152 282991 565982 1131964 1980937 2263928 3961874 4527856 6508793 7923748 9055712 13017586 15847496 26035172 31694992 45561551 52070344 63389984 91123102 104140688 182246204 208281376 364492408 728984816 1457969632