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381695776 = 25711971597
BaseRepresentation
bin10110110000000…
…011011100100000
3222121020011011121
4112300003130200
51240203231101
6101513022024
712313234450
oct2660033440
9877204147
10381695776
11186503760
12a79b4914
1361102cb7
143899bd60
152379a0a1
hex16c03720

381695776 has 96 divisors (see below), whose sum is σ = 947140992. Its totient is φ = 147087360.

The previous prime is 381695761. The next prime is 381695801. The reversal of 381695776 is 677596183.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238210 + ... + 239806.

It is an arithmetic number, because the mean of its divisors is an integer number (9866052).

Almost surely, 2381695776 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 381695776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473570496).

381695776 is an abundant number, since it is smaller than the sum of its proper divisors (565445216).

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

381695776 is a wasteful number, since it uses less digits than its factorization.

381695776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1714 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 52.

The square root of 381695776 is about 19537.0360085659. The cubic root of 381695776 is about 725.3914816356.

The spelling of 381695776 in words is "three hundred eighty-one million, six hundred ninety-five thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 97 112 154 176 194 224 308 352 388 616 679 776 1067 1232 1358 1552 1597 2134 2464 2716 3104 3194 4268 5432 6388 7469 8536 10864 11179 12776 14938 17072 17567 21728 22358 25552 29876 34144 35134 44716 51104 59752 70268 89432 119504 122969 140536 154909 178864 239008 245938 281072 309818 357728 491876 562144 619636 983752 1084363 1239272 1703999 1967504 2168726 2478544 3407998 3935008 4337452 4957088 6815996 8674904 11927993 13631992 17349808 23855986 27263984 34699616 47711972 54527968 95423944 190847888 381695776