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97048320 = 2835127199
BaseRepresentation
bin1011100100011…
…01011100000000
320202121120021020
411302031130000
5144321021240
613344025440
72255616465
oct562153400
9222546236
1097048320
114a865926
1228602280
131714c155
14cc6366c
1587c00d0
hex5c8d700

97048320 has 144 divisors (see below), whose sum is σ = 313958400. Its totient is φ = 25546752.

The previous prime is 97048309. The next prime is 97048327. The reversal of 97048320 is 2384079.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97048327) 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 15 ways as a sum of consecutive naturals, for example, 487581 + ... + 487779.

Almost surely, 297048320 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 97048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156979200).

97048320 is an abundant number, since it is smaller than the sum of its proper divisors (216910080).

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

97048320 is a wasteful number, since it uses less digits than its factorization.

97048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 97048320 is about 9851.3105727106. The cubic root of 97048320 is about 459.5463706956.

The spelling of 97048320 in words is "ninety-seven million, forty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 127 128 160 192 199 240 254 256 320 381 384 398 480 508 597 635 640 762 768 796 960 995 1016 1194 1270 1280 1524 1592 1905 1920 1990 2032 2388 2540 2985 3048 3184 3810 3840 3980 4064 4776 5080 5970 6096 6368 7620 7960 8128 9552 10160 11940 12192 12736 15240 15920 16256 19104 20320 23880 24384 25273 25472 30480 31840 32512 38208 40640 47760 48768 50546 50944 60960 63680 75819 76416 81280 95520 97536 101092 121920 126365 127360 151638 152832 162560 191040 202184 243840 252730 254720 303276 379095 382080 404368 487680 505460 606552 758190 764160 808736 1010920 1213104 1516380 1617472 2021840 2426208 3032760 3234944 4043680 4852416 6065520 6469888 8087360 9704832 12131040 16174720 19409664 24262080 32349440 48524160 97048320