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40385280 = 283513809
BaseRepresentation
bin1001101000001…
…1101100000000
32210222210012010
42122003230000
540314312110
64001332520
71000161225
oct232035400
983883163
1040385280
1120884071
1211637140
1384a0020
14551394c
15382b020
hex2683b00

40385280 has 144 divisors (see below), whose sum is σ = 139073760. Its totient is φ = 9928704.

The previous prime is 40385273. The next prime is 40385291. The reversal of 40385280 is 8258304.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 49516 + ... + 50324.

It is an arithmetic number, because the mean of its divisors is an integer number (965790).

Almost surely, 240385280 is an apocalyptic number.

40385280 is a gapful number since it is divisible by the number (40) 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 40385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69536880).

40385280 is an abundant number, since it is smaller than the sum of its proper divisors (98688480).

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

40385280 is a wasteful number, since it uses less digits than its factorization.

40385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 40385280 is about 6354.9413844661. The cubic root of 40385280 is about 343.0897152180.

The spelling of 40385280 in words is "forty million, three hundred eighty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 809 832 960 1040 1248 1280 1560 1618 1664 1920 2080 2427 2496 3120 3236 3328 3840 4045 4160 4854 4992 6240 6472 8090 8320 9708 9984 10517 12135 12480 12944 16180 16640 19416 21034 24270 24960 25888 31551 32360 38832 42068 48540 49920 51776 52585 63102 64720 77664 84136 97080 103552 105170 126204 129440 155328 157755 168272 194160 207104 210340 252408 258880 310656 315510 336544 388320 420680 504816 517760 621312 631020 673088 776640 841360 1009632 1035520 1262040 1346176 1553280 1682720 2019264 2524080 2692352 3106560 3365440 4038528 5048160 6730880 8077056 10096320 13461760 20192640 40385280