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96473916 = 22357111289
BaseRepresentation
bin1011100000000…
…01001100111100
320201112101100000
411300001030330
5144144131131
613323434300
72251005030
oct560011474
9221471300
1096473916
114a503310
1228385990
1316caa876
14cb541c0
158709ce6
hex5c0133c

96473916 has 144 divisors (see below), whose sum is σ = 315544320. Its totient is φ = 25038720.

The previous prime is 96473873. The next prime is 96473933. The reversal of 96473916 is 61937469.

96473916 is a `hidden beast` number, since 96 + 473 + 91 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 74200 + ... + 75488.

It is an arithmetic number, because the mean of its divisors is an integer number (2191280).

Almost surely, 296473916 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 96473916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157772160).

96473916 is an abundant number, since it is smaller than the sum of its proper divisors (219070404).

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

96473916 is a wasteful number, since it uses less digits than its factorization.

96473916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1312 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 96473916 is about 9822.1136218230. The cubic root of 96473916 is about 458.6379305374.

The spelling of 96473916 in words is "ninety-six million, four hundred seventy-three thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 243 252 297 308 324 378 396 462 486 567 594 693 756 891 924 972 1134 1188 1289 1386 1701 1782 2079 2268 2578 2673 2772 3402 3564 3867 4158 5156 5346 6237 6804 7734 8316 9023 10692 11601 12474 14179 15468 18046 18711 23202 24948 27069 28358 34803 36092 37422 42537 46404 54138 56716 69606 74844 81207 85074 99253 104409 108276 127611 139212 162414 170148 198506 208818 243621 255222 297759 313227 324828 382833 397012 417636 487242 510444 595518 626454 730863 765666 893277 974484 1148499 1191036 1252908 1461726 1531332 1786554 2192589 2296998 2679831 2923452 3445497 3573108 4385178 4593996 5359662 6890994 8039493 8770356 10719324 13781988 16078986 24118479 32157972 48236958 96473916