Search a number
-
+
96017376 = 25371329379
BaseRepresentation
bin1011011100100…
…01101111100000
320200200012002010
411232101233200
5144040024001
613305552520
72244064020
oct556215740
9220605063
1096017376
114a221304
12281a5740
1316b7ab20
14ca75a80
1586698d6
hex5b91be0

96017376 has 192 divisors, whose sum is σ = 321753600. Its totient is φ = 24385536.

The previous prime is 96017371. The next prime is 96017401. The reversal of 96017376 is 67371069.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96017371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253155 + ... + 253533.

It is an arithmetic number, because the mean of its divisors is an integer number (1675800).

Almost surely, 296017376 is an apocalyptic number.

96017376 is a gapful number since it is divisible by the number (96) 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 96017376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160876800).

96017376 is an abundant number, since it is smaller than the sum of its proper divisors (225736224).

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

96017376 is a wasteful number, since it uses less digits than its factorization.

96017376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 96017376 is about 9798.8456462994. The cubic root of 96017376 is about 457.9133211251.

It can be divided in two parts, 960 and 17376, that added together give a triangular number (18336 = T191).

The spelling of 96017376 in words is "ninety-six million, seventeen thousand, three hundred seventy-six".