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252297840 = 24353133911
BaseRepresentation
bin11110000100111…
…00001001110000
3122120202001120110
433002130021300
51004042012330
641011341320
76152332134
oct1702341160
9576661513
10252297840
1111a463113
12705b1840
1340368582
14257173c4
1517239db0
hexf09c270

252297840 has 80 divisors (see below), whose sum is σ = 807376896. Its totient is φ = 65107200.

The previous prime is 252297811. The next prime is 252297841. The reversal of 252297840 is 48792252.

252297840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252297841) 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, 9516 + ... + 24395.

Almost surely, 2252297840 is an apocalyptic number.

252297840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252297840 is an abundant number, since it is smaller than the sum of its proper divisors (555079056).

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

252297840 is a wasteful number, since it uses less digits than its factorization.

252297840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33958 (or 33952 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 252297840 is about 15883.8861743592. The cubic root of 252297840 is about 631.8847063093.

The spelling of 252297840 in words is "two hundred fifty-two million, two hundred ninety-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 33911 67822 101733 135644 169555 203466 271288 339110 406932 508665 542576 678220 813864 1017330 1051241 1356440 1627728 2034660 2102482 2712880 3153723 4069320 4204964 5256205 6307446 8138640 8409928 10512410 12614892 15768615 16819856 21024820 25229784 31537230 42049640 50459568 63074460 84099280 126148920 252297840