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145941048 = 233311239257
BaseRepresentation
bin10001011001011…
…10001000111000
3101011121120111000
420230232020320
5244330103143
622252005000
73421323051
oct1054561070
9334546430
10145941048
117541a740
1240a60760
132430a566
141554d728
15cc2bbd3
hex8b2e238

145941048 has 128 divisors (see below), whose sum is σ = 445824000. Its totient is φ = 43868160.

The previous prime is 145941041. The next prime is 145941083. The reversal of 145941048 is 840149541.

145941048 is a `hidden beast` number, since 14 + 594 + 10 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145941041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 567736 + ... + 567992.

It is an arithmetic number, because the mean of its divisors is an integer number (3483000).

Almost surely, 2145941048 is an apocalyptic number.

145941048 is a gapful number since it is divisible by the number (18) 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 145941048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222912000).

145941048 is an abundant number, since it is smaller than the sum of its proper divisors (299882952).

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

145941048 is a wasteful number, since it uses less digits than its factorization.

145941048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 145941048 is about 12080.6062761767. The cubic root of 145941048 is about 526.4928611624.

The spelling of 145941048 in words is "one hundred forty-five million, nine hundred forty-one thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 239 257 264 297 396 478 514 594 717 771 792 956 1028 1188 1434 1542 1912 2056 2151 2313 2376 2629 2827 2868 3084 4302 4626 5258 5654 5736 6168 6453 6939 7887 8481 8604 9252 10516 11308 12906 13878 15774 16962 17208 18504 21032 22616 23661 25443 25812 27756 31548 33924 47322 50886 51624 55512 61423 63096 67848 70983 76329 94644 101772 122846 141966 152658 184269 189288 203544 245692 283932 305316 368538 491384 552807 567864 610632 675653 737076 1105614 1351306 1474152 1658421 2026959 2211228 2702612 3316842 4053918 4422456 5405224 6080877 6633684 8107836 12161754 13267368 16215672 18242631 24323508 36485262 48647016 72970524 145941048