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145945458 = 23229231311
BaseRepresentation
bin10001011001011…
…11001101110010
3101011121210112100
420230233031302
5244330223313
622252041230
73421341651
oct1054571562
9334553470
10145945458
1175422a8a
1240a63216
132430c579
1415551198
15cc2d173
hex8b2f372

145945458 has 72 divisors (see below), whose sum is σ = 339146496. Its totient is φ = 45309600.

The previous prime is 145945453. The next prime is 145945463. The reversal of 145945458 is 854549541.

145945458 is a `hidden beast` number, since 1 + 4 + 594 + 5 + 4 + 58 = 666.

It is an interprime number because it is at equal distance from previous prime (145945453) and next prime (145945463).

It is not an unprimeable number, because it can be changed into a prime (145945451) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 469123 + ... + 469433.

It is an arithmetic number, because the mean of its divisors is an integer number (4710368).

Almost surely, 2145945458 is an apocalyptic number.

145945458 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145945458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169573248).

145945458 is an abundant number, since it is smaller than the sum of its proper divisors (193201038).

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

145945458 is a wasteful number, since it uses less digits than its factorization.

145945458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 376 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 145945458 is about 12080.7887987499. The cubic root of 145945458 is about 526.4981642401.

The spelling of 145945458 in words is "one hundred forty-five million, nine hundred forty-five thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 9 18 29 31 58 62 87 93 174 186 261 279 311 522 558 622 841 899 933 1682 1798 1866 2523 2697 2799 5046 5394 5598 7569 8091 9019 9641 15138 16182 18038 19282 26071 27057 28923 52142 54114 57846 78213 81171 86769 156426 162342 173538 234639 261551 279589 469278 523102 559178 784653 838767 1569306 1677534 2353959 2516301 4707918 5032602 8108081 16216162 24324243 48648486 72972729 145945458