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385525440 = 2633544621
BaseRepresentation
bin10110111110101…
…010011011000000
3222212102201111000
4112332222123000
51242143303230
6102131052000
712360624606
oct2676523300
9885381430
10385525440
11188689a73
12a9141000
1361b44181
14392b7876
1523ca4b60
hex16faa6c0

385525440 has 112 divisors (see below), whose sum is σ = 1360078560. Its totient is φ = 102804480.

The previous prime is 385525421. The next prime is 385525453. The reversal of 385525440 is 44525583.

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

It is a junction number, because it is equal to n+sod(n) for n = 385525395 and 385525404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13671 + ... + 30950.

Almost surely, 2385525440 is an apocalyptic number.

385525440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

385525440 is an abundant number, since it is smaller than the sum of its proper divisors (974553120).

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

385525440 is a wasteful number, since it uses less digits than its factorization.

385525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44647 (or 44631 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 385525440 is about 19634.8017560657. The cubic root of 385525440 is about 727.8094336771.

It can be divided in two parts, 385 and 525440, that added together give a triangular number (525825 = T1025).

The spelling of 385525440 in words is "three hundred eighty-five million, five hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 44621 89242 133863 178484 223105 267726 356968 401589 446210 535452 669315 713936 803178 892420 1070904 1204767 1338630 1427872 1606356 1784840 2007945 2141808 2409534 2677260 2855744 3212712 3569680 4015890 4283616 4819068 5354520 6023835 6425424 7139360 8031780 8567232 9638136 10709040 12047670 12850848 14278720 16063560 19276272 21418080 24095340 25701696 32127120 38552544 42836160 48190680 64254240 77105088 96381360 128508480 192762720 385525440