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252378448 = 2472397973
BaseRepresentation
bin11110000101011…
…11110101010000
3122120220011010221
433002233311100
51004102102243
641013202424
76153116140
oct1702576520
9576804127
10252378448
1111a508733
1270630414
134039617a
1425738920
1517253bed
hexf0afd50

252378448 has 40 divisors (see below), whose sum is σ = 583141248. Its totient is φ = 103458432.

The previous prime is 252378437. The next prime is 252378449. The reversal of 252378448 is 844873252.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252378449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46411 + ... + 51562.

Almost surely, 2252378448 is an apocalyptic number.

252378448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

252378448 is an abundant number, since it is smaller than the sum of its proper divisors (330762800).

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

252378448 is a wasteful number, since it uses less digits than its factorization.

252378448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98011 (or 98005 counting only the distinct ones).

The product of its digits is 430080, while the sum is 43.

The square root of 252378448 is about 15886.4233860237. The cubic root of 252378448 is about 631.9519938967.

The spelling of 252378448 in words is "two hundred fifty-two million, three hundred seventy-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1288 2576 97973 195946 391892 685811 783784 1371622 1567568 2253379 2743244 4506758 5486488 9013516 10972976 15773653 18027032 31547306 36054064 63094612 126189224 252378448