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78061416 = 23317375171
BaseRepresentation
bin1001010011100…
…01111101101000
312102212221010120
410221301331220
5124440431131
611425043240
71635340206
oct451617550
9172787116
1078061416
1140077774
1222186520
1313231bb4
14a520076
156cbe496
hex4a71f68

78061416 has 64 divisors (see below), whose sum is σ = 212258880. Its totient is φ = 23823360.

The previous prime is 78061409. The next prime is 78061457. The reversal of 78061416 is 61416087.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12511 + ... + 17681.

It is an arithmetic number, because the mean of its divisors is an integer number (3316545).

Almost surely, 278061416 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 78061416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106129440).

78061416 is an abundant number, since it is smaller than the sum of its proper divisors (134197464).

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

78061416 is a wasteful number, since it uses less digits than its factorization.

78061416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5234 (or 5230 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 78061416 is about 8835.2371784803. The cubic root of 78061416 is about 427.3779796071.

The spelling of 78061416 in words is "seventy-eight million, sixty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 34 37 51 68 74 102 111 136 148 204 222 296 408 444 629 888 1258 1887 2516 3774 5032 5171 7548 10342 15096 15513 20684 31026 41368 62052 87907 124104 175814 191327 263721 351628 382654 527442 573981 703256 765308 1054884 1147962 1530616 2109768 2295924 3252559 4591848 6505118 9757677 13010236 19515354 26020472 39030708 78061416