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457997148 = 223271817449
BaseRepresentation
bin11011010011000…
…111101101011100
31011220210122222100
4123103013231130
51414221402043
6113240245100
714230624440
oct3323075534
91156718870
10457997148
11215589044
12109470790
1373b69a3b
1444b80820
152a31ccd3
hex1b4c7b5c

457997148 has 36 divisors (see below), whose sum is σ = 1323103600. Its totient is φ = 130856256.

The previous prime is 457997143. The next prime is 457997173. The reversal of 457997148 is 841799754.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4579971482 = 419522775152267808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 457997094 and 457997103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457997143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 908473 + ... + 908976.

Almost surely, 2457997148 is an apocalyptic number.

It is an amenable number.

457997148 is an abundant number, since it is smaller than the sum of its proper divisors (865106452).

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

457997148 is a wasteful number, since it uses less digits than its factorization.

457997148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817466 (or 1817461 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 457997148 is about 21400.8679263249. The cubic root of 457997148 is about 770.8222778202.

The spelling of 457997148 in words is "four hundred fifty-seven million, nine hundred ninety-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1817449 3634898 5452347 7269796 10904694 12722143 16357041 21809388 25444286 32714082 38166429 50888572 65428164 76332858 114499287 152665716 228998574 457997148