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1429477952 = 26731102929
BaseRepresentation
bin101010100110100…
…0001101001000000
310200121211000002212
41111031001221000
510411421243302
6353502401252
750265235130
oct12515015100
93617730085
101429477952
116739a2a41
1233a890228
1319a1ccc56
14d7bc6ac0
1585769052
hex55341a40

1429477952 has 56 divisors (see below), whose sum is σ = 3346460160. Its totient is φ = 592865280.

The previous prime is 1429477927. The next prime is 1429477957. The reversal of 1429477952 is 2597749241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×14294779522 = 4086814430508228608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1429477952.

It is not an unprimeable number, because it can be changed into a prime (1429477957) by changing a digit.

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, 37577 + ... + 65352.

Almost surely, 21429477952 is an apocalyptic number.

It is an amenable number.

1429477952 is an abundant number, since it is smaller than the sum of its proper divisors (1916982208).

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

1429477952 is a wasteful number, since it uses less digits than its factorization.

1429477952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102979 (or 102969 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 50.

The square root of 1429477952 is about 37808.4375768161. The cubic root of 1429477952 is about 1126.4860564255.

The spelling of 1429477952 in words is "one billion, four hundred twenty-nine million, four hundred seventy-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3472 6944 13888 102929 205858 411716 720503 823432 1441006 1646864 2882012 3190799 3293728 5764024 6381598 6587456 11528048 12763196 22335593 23056096 25526392 44671186 46112192 51052784 89342372 102105568 178684744 204211136 357369488 714738976 1429477952