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945820848 = 243729113859
BaseRepresentation
bin111000011000000…
…001010010110000
32102220201200021210
4320120001102300
53414112231343
6233504120120
732303226120
oct7030012260
92386650253
10945820848
11445989225
12224906040
13120c4a80b
148d886c80
155807d333
hex386014b0

945820848 has 160 divisors (see below), whose sum is σ = 2917670400. Its totient is φ = 258306048.

The previous prime is 945820807. The next prime is 945820871. The reversal of 945820848 is 848028549.

It is a super-2 number, since 2×9458208482 = 1789154153022878208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 945820797 and 945820806.

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, 1100643 + ... + 1101501.

It is an arithmetic number, because the mean of its divisors is an integer number (18235440).

Almost surely, 2945820848 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 945820848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458835200).

945820848 is an abundant number, since it is smaller than the sum of its proper divisors (1971849552).

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

945820848 is a wasteful number, since it uses less digits than its factorization.

945820848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 945820848 is about 30754.2004935911. The cubic root of 945820848 is about 981.6039429172.

The spelling of 945820848 in words is "nine hundred forty-five million, eight hundred twenty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 113 116 168 174 203 226 232 336 339 348 406 452 464 609 678 696 791 812 859 904 1218 1356 1392 1582 1624 1718 1808 2373 2436 2577 2712 3164 3248 3277 3436 4746 4872 5154 5424 6013 6328 6554 6872 9492 9744 9831 10308 12026 12656 13108 13744 18039 18984 19662 20616 22939 24052 24911 26216 36078 37968 39324 41232 45878 48104 49822 52432 68817 72156 74733 78648 91756 96208 97067 99644 137634 144312 149466 157296 174377 183512 194134 199288 275268 288624 291201 298932 348754 367024 388268 398576 523131 550536 582402 597864 679469 697508 776536 1046262 1101072 1164804 1195728 1358938 1395016 1553072 2038407 2092524 2329608 2717876 2790032 2814943 4076814 4185048 4659216 5435752 5629886 8153628 8370096 8444829 10871504 11259772 16307256 16889658 19704601 22519544 32614512 33779316 39409202 45039088 59113803 67558632 78818404 118227606 135117264 157636808 236455212 315273616 472910424 945820848