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422463552 = 2637615153
BaseRepresentation
bin11001001011100…
…100100001000000
31002102221101001020
4121023210201000
51331122313202
6105530505440
713316611110
oct3113444100
91072841036
10422463552
111a7519135
12b9595280
13696a8144
1440171040
152714e5bc
hex192e4840

422463552 has 112 divisors (see below), whose sum is σ = 1298643072. Its totient is φ = 118702080.

The previous prime is 422463533. The next prime is 422463557. The reversal of 422463552 is 255364224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422463557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79408 + ... + 84560.

Almost surely, 2422463552 is an apocalyptic number.

422463552 is a gapful number since it is divisible by the number (42) 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 422463552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649321536).

422463552 is an abundant number, since it is smaller than the sum of its proper divisors (876179520).

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

422463552 is a wasteful number, since it uses less digits than its factorization.

422463552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5236 (or 5226 counting only the distinct ones).

The product of its digits is 57600, while the sum is 33.

The square root of 422463552 is about 20553.9181666173. The cubic root of 422463552 is about 750.3486094923.

It can be divided in two parts, 4224 and 63552, that added together give a palindrome (67776).

The spelling of 422463552 in words is "four hundred twenty-two million, four hundred sixty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 168 183 192 224 244 336 366 427 448 488 672 732 854 976 1281 1344 1464 1708 1952 2562 2928 3416 3904 5124 5153 5856 6832 10248 10306 11712 13664 15459 20496 20612 27328 30918 36071 40992 41224 61836 72142 81984 82448 108213 123672 144284 164896 216426 247344 288568 314333 329792 432852 494688 577136 628666 865704 942999 989376 1154272 1257332 1731408 1885998 2200331 2308544 2514664 3462816 3771996 4400662 5029328 6600993 6925632 7543992 8801324 10058656 13201986 15087984 17602648 20117312 26403972 30175968 35205296 52807944 60351936 70410592 105615888 140821184 211231776 422463552