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80477408 = 2511972357
BaseRepresentation
bin1001100101111…
…11110011100000
312121102200020202
410302333303200
5131100234113
611552524332
71665022004
oct462776340
9177380222
1080477408
1141477960
1222b506a8
131389978b
14a98c704
1570ea258
hex4cbfce0

80477408 has 48 divisors (see below), whose sum is σ = 174699504. Its totient is φ = 36188160.

The previous prime is 80477399. The next prime is 80477429.

80477408 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×804774082 = 12953226396796928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32966 + ... + 35322.

It is an arithmetic number, because the mean of its divisors is an integer number (3639573).

Almost surely, 280477408 is an apocalyptic number.

80477408 is a gapful number since it is divisible by the number (88) 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 80477408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87349752).

80477408 is an abundant number, since it is smaller than the sum of its proper divisors (94222096).

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

80477408 is a wasteful number, since it uses less digits than its factorization.

80477408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The square root of 80477408 is about 8970.9201311794. The cubic root of 80477408 is about 431.7423589500.

The spelling of 80477408 in words is "eighty million, four hundred seventy-seven thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 97 176 194 352 388 776 1067 1552 2134 2357 3104 4268 4714 8536 9428 17072 18856 25927 34144 37712 51854 75424 103708 207416 228629 414832 457258 829664 914516 1829032 2514919 3658064 5029838 7316128 10059676 20119352 40238704 80477408