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145264504 = 237112310253
BaseRepresentation
bin10001010100010…
…00111101111000
3101010100012102211
420222020331320
5244141431004
622225304504
73412504450
oct1052107570
9333305384
10145264504
1174aa8410
1240795134
1324131638
1415414d60
15cb46504
hex8a88f78

145264504 has 64 divisors (see below), whose sum is σ = 354378240. Its totient is φ = 54130560.

The previous prime is 145264501. The next prime is 145264529. The reversal of 145264504 is 405462541.

It is a happy number.

It is a super-2 number, since 2×1452645042 = 42203552244732032, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145264501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9042 + ... + 19294.

It is an arithmetic number, because the mean of its divisors is an integer number (5537160).

Almost surely, 2145264504 is an apocalyptic number.

145264504 is a gapful number since it is divisible by the number (14) 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 145264504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177189120).

145264504 is an abundant number, since it is smaller than the sum of its proper divisors (209113736).

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

145264504 is a wasteful number, since it uses less digits than its factorization.

145264504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10300 (or 10296 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 145264504 is about 12052.5725054861. The cubic root of 145264504 is about 525.6780403324.

It can be divided in two parts, 1452 and 64504, that added together give a palindrome (65956).

The spelling of 145264504 in words is "one hundred forty-five million, two hundred sixty-four thousand, five hundred four".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 77 88 92 154 161 184 253 308 322 506 616 644 1012 1288 1771 2024 3542 7084 10253 14168 20506 41012 71771 82024 112783 143542 225566 235819 287084 451132 471638 574168 789481 902264 943276 1578962 1650733 1886552 2594009 3157924 3301466 5188018 6315848 6602932 10376036 13205864 18158063 20752072 36316126 72632252 145264504