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253652472 = 23341971987
BaseRepresentation
bin11110001111001…
…10110111111000
3122200021212210000
433013212313320
51004413334342
641100353000
76200003403
oct1707466770
9580255700
10253652472
111201a8947
1270b45760
1340721028
142598ad3a
151740644c
hexf1e6df8

253652472 has 80 divisors (see below), whose sum is σ = 714427560. Its totient is φ = 84079296.

The previous prime is 253652471. The next prime is 253652479. The reversal of 253652472 is 274256352.

253652472 is a `hidden beast` number, since 2 + 536 + 52 + 4 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253652471) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 126663 + ... + 128649.

Almost surely, 2253652472 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 253652472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357213780).

253652472 is an abundant number, since it is smaller than the sum of its proper divisors (460775088).

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

253652472 is a wasteful number, since it uses less digits than its factorization.

253652472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 2189 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 253652472 is about 15926.4707955027. The cubic root of 253652472 is about 633.0135888011.

The spelling of 253652472 in words is "two hundred fifty-three million, six hundred fifty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 197 216 324 394 591 648 788 1182 1576 1773 1987 2364 3546 3974 4728 5319 5961 7092 7948 10638 11922 14184 15896 15957 17883 21276 23844 31914 35766 42552 47688 53649 63828 71532 107298 127656 143064 160947 214596 321894 391439 429192 643788 782878 1174317 1287576 1565756 2348634 3131512 3522951 4697268 7045902 9394536 10568853 14091804 21137706 28183608 31706559 42275412 63413118 84550824 126826236 253652472