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100486656 = 29342423
BaseRepresentation
bin1011111110101…
…00111000000000
321000002020210000
411333110320000
5201211033111
613545440000
72330060004
oct577247000
9230066700
10100486656
11517a4126
12297a0000
1317a8417a
14d4ba704
158c4dc56
hex5fd4e00

100486656 has 100 divisors (see below), whose sum is σ = 300049992. Its totient is φ = 33481728.

The previous prime is 100486651. The next prime is 100486663. The reversal of 100486656 is 656684001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100486656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100486651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40261 + ... + 42683.

Almost surely, 2100486656 is an apocalyptic number.

100486656 is a gapful number since it is divisible by the number (16) 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 100486656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150024996).

100486656 is an abundant number, since it is smaller than the sum of its proper divisors (199563336).

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

100486656 is an frugal number, since it uses more digits than its factorization.

100486656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 100486656 is about 10024.3032675593. The cubic root of 100486656 is about 464.9106175755.

The spelling of 100486656 in words is "one hundred million, four hundred eighty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2423 2592 3456 4608 4846 5184 6912 7269 9692 10368 13824 14538 19384 20736 21807 29076 38768 41472 43614 58152 65421 77536 87228 116304 130842 155072 174456 196263 232608 261684 310144 348912 392526 465216 523368 620288 697824 785052 930432 1046736 1240576 1395648 1570104 1860864 2093472 2791296 3140208 3721728 4186944 5582592 6280416 8373888 11165184 12560832 16747776 25121664 33495552 50243328 100486656