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422453976 = 233771107331
BaseRepresentation
bin11001001011100…
…010001011011000
31002102220212220120
4121023202023120
51331122011401
6105530353240
713316541150
oct3113421330
91072825816
10422453976
111a7511a1a
12b958b820
13696a3989
144016b760
152714b836
hex192e22d8

422453976 has 128 divisors (see below), whose sum is σ = 1239183360. Its totient is φ = 117532800.

The previous prime is 422453971. The next prime is 422453989. The reversal of 422453976 is 679354224.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422453971) 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, 1276131 + ... + 1276461.

It is an arithmetic number, because the mean of its divisors is an integer number (9681120).

Almost surely, 2422453976 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 422453976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619591680).

422453976 is an abundant number, since it is smaller than the sum of its proper divisors (816729384).

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

422453976 is a wasteful number, since it uses less digits than its factorization.

422453976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 521 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 422453976 is about 20553.6852170116. The cubic root of 422453976 is about 750.3429400545.

The spelling of 422453976 in words is "four hundred twenty-two million, four hundred fifty-three thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 107 142 168 213 214 284 321 331 426 428 497 568 642 662 749 852 856 993 994 1284 1324 1491 1498 1704 1986 1988 2247 2317 2568 2648 2982 2996 3972 3976 4494 4634 5964 5992 6951 7597 7944 8988 9268 11928 13902 15194 17976 18536 22791 23501 27804 30388 35417 45582 47002 53179 55608 60776 70503 70834 91164 94004 106251 106358 141006 141668 159537 164507 182328 188008 212502 212716 247919 282012 283336 319074 329014 425004 425432 493521 495838 564024 638148 658028 743757 850008 987042 991676 1276296 1316056 1487514 1974084 1983352 2514607 2975028 3948168 5029214 5950056 7543821 10058428 15087642 17602249 20116856 30175284 35204498 52806747 60350568 70408996 105613494 140817992 211226988 422453976