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116437408 = 2523281563
BaseRepresentation
bin1101111000010…
…11000110100000
322010002122002121
412330023012200
5214301444113
615315354024
72612462443
oct674130640
9263078077
10116437408
115a7a916a
1232bb2914
131b17a499
141166d65a
15a34ee8d
hex6f0b1a0

116437408 has 48 divisors (see below), whose sum is σ = 240480576. Its totient is φ = 55390720.

The previous prime is 116437393. The next prime is 116437411. The reversal of 116437408 is 804734611.

It is a happy 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, 206535 + ... + 207097.

It is an arithmetic number, because the mean of its divisors is an integer number (5010012).

Almost surely, 2116437408 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 116437408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120240288).

116437408 is an abundant number, since it is smaller than the sum of its proper divisors (124043168).

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

116437408 is a wasteful number, since it uses less digits than its factorization.

116437408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 116437408 is about 10790.6166644914. The cubic root of 116437408 is about 488.3121267555.

The spelling of 116437408 in words is "one hundred sixteen million, four hundred thirty-seven thousand, four hundred eight".

Divisors: 1 2 4 8 16 23 32 46 92 184 281 368 562 563 736 1124 1126 2248 2252 4496 4504 6463 8992 9008 12926 12949 18016 25852 25898 51704 51796 103408 103592 158203 206816 207184 316406 414368 632812 1265624 2531248 3638669 5062496 7277338 14554676 29109352 58218704 116437408