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1422476952 = 23313192310433
BaseRepresentation
bin101010011001001…
…0100011010011000
310200010122022112120
41110302110122120
510403123230302
6353052341240
750151566061
oct12462243230
93603568476
101422476952
1166aa50a96
12338474820
1319891b450
14d6cc3568
1584d349bc
hex54c94698

1422476952 has 128 divisors (see below), whose sum is σ = 4206988800. Its totient is φ = 396582912.

The previous prime is 1422476947. The next prime is 1422476959. The reversal of 1422476952 is 2596742241.

It is a happy number.

It is a super-3 number, since 3×14224769523 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1422476959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131128 + ... + 141560.

It is an arithmetic number, because the mean of its divisors is an integer number (32867100).

Almost surely, 21422476952 is an apocalyptic number.

1422476952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1422476952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103494400).

1422476952 is an abundant number, since it is smaller than the sum of its proper divisors (2784511848).

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

1422476952 is a wasteful number, since it uses less digits than its factorization.

1422476952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10497 (or 10493 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 1422476952 is about 37715.7387836961. The cubic root of 1422476952 is about 1124.6440228783.

The spelling of 1422476952 in words is "one billion, four hundred twenty-two million, four hundred seventy-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 19 23 24 26 38 39 46 52 57 69 76 78 92 104 114 138 152 156 184 228 247 276 299 312 437 456 494 552 598 741 874 897 988 1196 1311 1482 1748 1794 1976 2392 2622 2964 3496 3588 5244 5681 5928 7176 10433 10488 11362 17043 20866 22724 31299 34086 41732 45448 62598 68172 83464 125196 135629 136344 198227 239959 250392 271258 396454 406887 479918 542516 594681 719877 792908 813774 959836 1085032 1189362 1439754 1585816 1627548 1919672 2378724 2576951 2879508 3119467 3255096 4559221 4757448 5153902 5759016 6238934 7730853 9118442 9358401 10307804 12477868 13677663 15461706 18236884 18716802 20615608 24955736 27355326 30923412 36473768 37433604 54710652 59269873 61846824 74867208 109421304 118539746 177809619 237079492 355619238 474158984 711238476 1422476952