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96169216 = 2811133771
BaseRepresentation
bin1011011101101…
…10110100000000
320200221220100211
411232312310000
5144104403331
613313123504
72245265503
oct556666400
9220856324
1096169216
114a3153a0
1228259594
1316c01c80
14cab513a
1586998b1
hex5bb6d00

96169216 has 144 divisors (see below), whose sum is σ = 234880128. Its totient is φ = 38707200.

The previous prime is 96169207. The next prime is 96169243. The reversal of 96169216 is 61296169.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1354461 + ... + 1354531.

It is an arithmetic number, because the mean of its divisors is an integer number (1631112).

Almost surely, 296169216 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 96169216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117440064).

96169216 is an abundant number, since it is smaller than the sum of its proper divisors (138710912).

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

96169216 is a wasteful number, since it uses less digits than its factorization.

96169216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 134 counting only the distinct ones).

The product of its digits is 34992, while the sum is 40.

The square root of 96169216 is about 9806.5904370479. The cubic root of 96169216 is about 458.1545723890.

The spelling of 96169216 in words is "ninety-six million, one hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 32 37 44 52 64 71 74 88 104 128 142 143 148 176 208 256 284 286 296 352 407 416 481 568 572 592 704 781 814 832 923 962 1136 1144 1184 1408 1562 1628 1664 1846 1924 2272 2288 2368 2627 2816 3124 3256 3328 3692 3848 4544 4576 4736 5254 5291 6248 6512 7384 7696 9088 9152 9472 10153 10508 10582 12496 13024 14768 15392 18176 18304 20306 21016 21164 24992 26048 28897 29536 30784 34151 36608 40612 42032 42328 49984 52096 57794 59072 61568 68302 81224 84064 84656 99968 104192 115588 118144 123136 136604 162448 168128 169312 199936 231176 236288 273208 324896 336256 338624 375661 462352 546416 649792 672512 677248 751322 924704 1092832 1299584 1354496 1502644 1849408 2185664 2599168 3005288 3698816 4371328 6010576 7397632 8742656 12021152 24042304 48084608 96169216