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96450376 = 23114371359
BaseRepresentation
bin1011011111110…
…11011101001000
320201111012001011
411233323131020
5144142403001
613323133304
72250546301
oct557733510
9221435034
1096450376
114a497660
1228374234
1316c9cc39
14cb497a8
158702d51
hex5bfb748

96450376 has 64 divisors (see below), whose sum is σ = 205286400. Its totient is φ = 42100800.

The previous prime is 96450371. The next prime is 96450377. The reversal of 96450376 is 67305469.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (96450371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268485 + ... + 268843.

It is an arithmetic number, because the mean of its divisors is an integer number (3207600).

Almost surely, 296450376 is an apocalyptic number.

96450376 is the 5250-th centered heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96450376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102643200).

96450376 is an abundant number, since it is smaller than the sum of its proper divisors (108836024).

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

96450376 is a wasteful number, since it uses less digits than its factorization.

96450376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 96450376 is about 9820.9152322989. The cubic root of 96450376 is about 458.6006243736.

The spelling of 96450376 in words is "ninety-six million, four hundred fifty thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 22 43 44 71 86 88 142 172 284 344 359 473 568 718 781 946 1436 1562 1892 2872 3053 3124 3784 3949 6106 6248 7898 12212 15437 15796 24424 25489 30874 31592 33583 50978 61748 67166 101956 123496 134332 169807 203912 268664 280379 339614 560758 679228 1096027 1121516 1358456 2192054 2243032 4384108 8768216 12056297 24112594 48225188 96450376