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146042512 = 247111719367
BaseRepresentation
bin10001011010001…
…10111010010000
3101011210201122221
420231012322100
5244341330022
622254110424
73422224630
oct1055067220
9334721587
10146042512
11754899a0
1240aab414
13243447b5
14155786c0
15cc4bcc7
hex8b46e90

146042512 has 160 divisors (see below), whose sum is σ = 394260480. Its totient is φ = 50595840.

The previous prime is 146042473. The next prime is 146042537. The reversal of 146042512 is 215240641.

It is a happy number.

It is a super-2 number, since 2×1460425122 = 42656830622540288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397753 + ... + 398119.

It is an arithmetic number, because the mean of its divisors is an integer number (2464128).

Almost surely, 2146042512 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 146042512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197130240).

146042512 is an abundant number, since it is smaller than the sum of its proper divisors (248217968).

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

146042512 is a wasteful number, since it uses less digits than its factorization.

146042512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 146042512 is about 12084.8050046329. The cubic root of 146042512 is about 526.6148457977.

The spelling of 146042512 in words is "one hundred forty-six million, forty-two thousand, five hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 17 19 22 28 34 38 44 56 68 76 77 88 112 119 133 136 152 154 176 187 209 238 266 272 304 308 323 367 374 418 476 532 616 646 734 748 836 952 1064 1232 1292 1309 1463 1468 1496 1672 1904 2128 2261 2569 2584 2618 2926 2936 2992 3344 3553 4037 4522 5138 5168 5236 5852 5872 6239 6973 7106 8074 9044 10276 10472 11704 12478 13946 14212 16148 18088 20552 20944 23408 24871 24956 27892 28259 28424 32296 36176 41104 43673 48811 49742 49912 55784 56518 56848 64592 68629 76703 87346 97622 99484 99824 111568 113036 118541 137258 153406 174692 195244 198968 226072 237082 274516 306812 349384 390488 397936 452144 474164 480403 536921 549032 613624 698768 780976 829787 948328 960806 1073842 1098064 1227248 1303951 1659574 1896656 1921612 2147684 2607902 3319148 3843224 4295368 5215804 6638296 7686448 8590736 9127657 10431608 13276592 18255314 20863216 36510628 73021256 146042512