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422513952 = 25373716993
BaseRepresentation
bin11001001011110…
…000110100100000
31002110000221011220
4121023300310200
51331130421302
6105531535040
713320211050
oct3113606440
91073027156
10422513952
111a7552a93
12b95ba480
13696c5073
1440185560
152715e4bc
hex192f0d20

422513952 has 96 divisors (see below), whose sum is σ = 1301876352. Its totient is φ = 117448704.

The previous prime is 422513947. The next prime is 422513953. The reversal of 422513952 is 259315224.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (422513953) 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, 16368 + ... + 33360.

It is an arithmetic number, because the mean of its divisors is an integer number (13561212).

Almost surely, 2422513952 is an apocalyptic number.

422513952 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 422513952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650938176).

422513952 is an abundant number, since it is smaller than the sum of its proper divisors (879362400).

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

422513952 is a wasteful number, since it uses less digits than its factorization.

422513952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17050 (or 17042 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 422513952 is about 20555.1441736612. The cubic root of 422513952 is about 750.3784472270.

The spelling of 422513952 in words is "four hundred twenty-two million, five hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 84 96 111 112 148 168 222 224 259 296 336 444 518 592 672 777 888 1036 1184 1554 1776 2072 3108 3552 4144 6216 8288 12432 16993 24864 33986 50979 67972 101958 118951 135944 203916 237902 271888 356853 407832 475804 543776 628741 713706 815664 951608 1257482 1427412 1631328 1886223 1903216 2514964 2854824 3772446 3806432 4401187 5029928 5709648 7544892 8802374 10059856 11419296 13203561 15089784 17604748 20119712 26407122 30179568 35209496 52814244 60359136 70418992 105628488 140837984 211256976 422513952