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96344960 = 275292179
BaseRepresentation
bin1011011111000…
…01101110000000
320201021211102212
411233201232000
5144131014320
613321001252
72246630045
oct557415600
9221254385
1096344960
114a425438
1228323228
1316c63c6a
14cb1d1cc
1586d19c5
hex5be1b80

96344960 has 96 divisors (see below), whose sum is σ = 239873400. Its totient is φ = 37001216.

The previous prime is 96344947. The next prime is 96344977. The reversal of 96344960 is 6944369.

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 11 ways as a sum of consecutive naturals, for example, 538151 + ... + 538329.

Almost surely, 296344960 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 96344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119936700).

96344960 is an abundant number, since it is smaller than the sum of its proper divisors (143528440).

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

96344960 is a wasteful number, since it uses less digits than its factorization.

96344960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 41.

The square root of 96344960 is about 9815.5468518061. The cubic root of 96344960 is about 458.4334867266.

The spelling of 96344960 in words is "ninety-six million, three hundred forty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 179 232 290 320 358 464 580 640 716 841 895 928 1160 1432 1682 1790 1856 2320 2864 3364 3580 3712 4205 4640 5191 5728 6728 7160 8410 9280 10382 11456 13456 14320 16820 18560 20764 22912 25955 26912 28640 33640 41528 51910 53824 57280 67280 83056 103820 107648 114560 134560 150539 166112 207640 269120 301078 332224 415280 538240 602156 664448 752695 830560 1204312 1505390 1661120 2408624 3010780 3322240 4817248 6021560 9634496 12043120 19268992 24086240 48172480 96344960