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1427435952 = 243191565171
BaseRepresentation
bin101010100010100…
…1111000110110000
310200110222021000020
41111011033012300
510410410422302
6353350523440
750242001565
oct12505170660
93613867006
101427435952
11672828838
1233a066580
13199966677
14d781486c
15854b3ebc
hex5514f1b0

1427435952 has 40 divisors (see below), whose sum is σ = 3881626560. Its totient is φ = 450768960.

The previous prime is 1427435939. The next prime is 1427435953. The reversal of 1427435952 is 2595347241.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1427435953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 781674 + ... + 783497.

It is an arithmetic number, because the mean of its divisors is an integer number (97040664).

Almost surely, 21427435952 is an apocalyptic number.

1427435952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1427435952 is an abundant number, since it is smaller than the sum of its proper divisors (2454190608).

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

1427435952 is a wasteful number, since it uses less digits than its factorization.

1427435952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565201 (or 1565195 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 1427435952 is about 37781.4233718106. The cubic root of 1427435952 is about 1125.9494081319.

The spelling of 1427435952 in words is "one billion, four hundred twenty-seven million, four hundred thirty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 1565171 3130342 4695513 6260684 9391026 12521368 18782052 25042736 29738249 37564104 59476498 75128208 89214747 118952996 178429494 237905992 356858988 475811984 713717976 1427435952