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96521616 = 243223151193
BaseRepresentation
bin1011100000011…
…00110110010000
320201121210202200
411300030312100
5144202142431
613324443200
72251264062
oct560146620
9221553680
1096521616
114a536134
12283a9500
1316cc64a9
14cb67732
158718ee6
hex5c0cd90

96521616 has 120 divisors (see below), whose sum is σ = 285207936. Its totient is φ = 30412800.

The previous prime is 96521587. The next prime is 96521617. The reversal of 96521616 is 61612569.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (96521617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500016 + ... + 500208.

Almost surely, 296521616 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 96521616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142603968).

96521616 is an abundant number, since it is smaller than the sum of its proper divisors (188686320).

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

96521616 is a wasteful number, since it uses less digits than its factorization.

96521616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 372 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 96521616 is about 9824.5415160200. The cubic root of 96521616 is about 458.7135068368.

The spelling of 96521616 in words is "ninety-six million, five hundred twenty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 151 184 193 207 276 302 368 386 414 453 552 579 604 772 828 906 1104 1158 1208 1359 1544 1656 1737 1812 2316 2416 2718 3088 3312 3473 3474 3624 4439 4632 5436 6946 6948 7248 8878 9264 10419 10872 13317 13892 13896 17756 20838 21744 26634 27784 27792 29143 31257 35512 39951 41676 53268 55568 58286 62514 71024 79902 83352 87429 106536 116572 125028 159804 166704 174858 213072 233144 250056 262287 319608 349716 466288 500112 524574 639216 670289 699432 1049148 1340578 1398864 2010867 2098296 2681156 4021734 4196592 5362312 6032601 8043468 10724624 12065202 16086936 24130404 32173872 48260808 96521616