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145299744 = 2534291933
BaseRepresentation
bin10001010100100…
…01100100100000
3101010101222210000
420222101210200
5244144042434
622230140000
73413012262
oct1052214440
9333358700
10145299744
1175021937
12407b1600
13241446a5
1415423b32
15cb51b99
hex8a91920

145299744 has 120 divisors (see below), whose sum is σ = 442286460. Its totient is φ = 46738944.

The previous prime is 145299733. The next prime is 145299757. The reversal of 145299744 is 447992541.

It can be written as a sum of positive squares in 2 ways, for example, as 143712144 + 1587600 = 11988^2 + 1260^2 .

It is a super-2 number, since 2×1452997442 = 42224031212931072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145299744.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74202 + ... + 76134.

Almost surely, 2145299744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145299744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221143230).

145299744 is an abundant number, since it is smaller than the sum of its proper divisors (296986716).

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

145299744 is a wasteful number, since it uses less digits than its factorization.

145299744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1967 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 145299744 is about 12054.0343453966. The cubic root of 145299744 is about 525.7205453166.

The spelling of 145299744 in words is "one hundred forty-five million, two hundred ninety-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 261 288 324 348 432 464 522 648 696 783 864 928 1044 1296 1392 1566 1933 2088 2349 2592 2784 3132 3866 4176 4698 5799 6264 7732 8352 9396 11598 12528 15464 17397 18792 23196 25056 30928 34794 37584 46392 52191 56057 61856 69588 75168 92784 104382 112114 139176 156573 168171 185568 208764 224228 278352 313146 336342 417528 448456 504513 556704 626292 672684 835056 896912 1009026 1252584 1345368 1513539 1670112 1793824 2018052 2505168 2690736 3027078 4036104 4540617 5010336 5381472 6054156 8072208 9081234 12108312 16144416 18162468 24216624 36324936 48433248 72649872 145299744