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253534428 = 223372232083
BaseRepresentation
bin11110001110010…
…10000011011100
3122200001212212000
433013022003130
51004401100203
641054042300
76166002300
oct1707120334
9580055760
10253534428
11120128194
1270aa9390
13406ac394
1425959d00
15173d14a3
hexf1ca0dc

253534428 has 144 divisors (see below), whose sum is σ = 798255360. Its totient is φ = 69255648.

The previous prime is 253534417. The next prime is 253534439. The reversal of 253534428 is 824435352.

253534428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253534417) and next prime (253534439).

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

It is a junction number, because it is equal to n+sod(n) for n = 253534392 and 253534401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120675 + ... + 122757.

It is an arithmetic number, because the mean of its divisors is an integer number (5543440).

Almost surely, 2253534428 is an apocalyptic number.

253534428 is a gapful number since it is divisible by the number (28) 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 253534428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399127680).

253534428 is an abundant number, since it is smaller than the sum of its proper divisors (544720932).

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

253534428 is a wasteful number, since it uses less digits than its factorization.

253534428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2118 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 253534428 is about 15922.7644584727. The cubic root of 253534428 is about 632.9153769314.

It can be divided in two parts, 2535 and 34428, that added together give a palindrome (36963).

The spelling of 253534428 in words is "two hundred fifty-three million, five hundred thirty-four thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 49 54 63 69 84 92 98 108 126 138 147 161 189 196 207 252 276 294 322 378 414 441 483 588 621 644 756 828 882 966 1127 1242 1323 1449 1764 1932 2083 2254 2484 2646 2898 3381 4166 4347 4508 5292 5796 6249 6762 8332 8694 10143 12498 13524 14581 17388 18747 20286 24996 29162 30429 37494 40572 43743 47909 56241 58324 60858 74988 87486 95818 102067 112482 121716 131229 143727 174972 191636 204134 224964 262458 287454 306201 335363 393687 408268 431181 524916 574908 612402 670726 787374 862362 918603 1006089 1224804 1293543 1341452 1574748 1724724 1837206 2012178 2347541 2587086 2755809 3018267 3674412 4024356 4695082 5174172 5511618 6036534 7042623 9054801 9390164 11023236 12073068 14085246 18109602 21127869 28170492 36219204 42255738 63383607 84511476 126767214 253534428