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471420096 = 26371918461
BaseRepresentation
bin11100000110010…
…100110011000000
31012212001121210120
4130012110303000
51431140420341
6114440100240
714453001420
oct3406246300
91185047716
10471420096
11222116994
12111a64680
1376889604
1446876480
152b5c0066
hex1c194cc0

471420096 has 112 divisors (see below), whose sum is σ = 1500591360. Its totient is φ = 127595520.

The previous prime is 471420073. The next prime is 471420101. The reversal of 471420096 is 690024174.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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, 16306 + ... + 34766.

Almost surely, 2471420096 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 471420096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750295680).

471420096 is an abundant number, since it is smaller than the sum of its proper divisors (1029171264).

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

471420096 is a wasteful number, since it uses less digits than its factorization.

471420096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18502 (or 18492 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 471420096 is about 21712.2107580044. The cubic root of 471420096 is about 778.2802874994.

The spelling of 471420096 in words is "four hundred seventy-one million, four hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 2128 3192 3648 4256 6384 8512 12768 18461 25536 36922 55383 73844 110766 129227 147688 221532 258454 295376 350759 387681 443064 516908 590752 701518 775362 886128 1033816 1052277 1181504 1403036 1550724 1772256 2067632 2104554 2455313 2806072 3101448 3544512 4135264 4209108 4910626 5612144 6202896 7365939 8270528 8418216 9821252 11224288 12405792 14731878 16836432 19642504 22448576 24811584 29463756 33672864 39285008 58927512 67345728 78570016 117855024 157140032 235710048 471420096