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97393296 = 243711132027
BaseRepresentation
bin1011100111000…
…01101010010000
320210021002111010
411303201222100
5144413041141
613355250520
72261554320
oct563415220
9223232433
1097393296
114aa81030
1228749a40
1317240190
14cd13280
15883c416
hex5ce1a90

97393296 has 160 divisors (see below), whose sum is σ = 337978368. Its totient is φ = 23339520.

The previous prime is 97393253. The next prime is 97393313. The reversal of 97393296 is 69239379.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47035 + ... + 49061.

Almost surely, 297393296 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 97393296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168989184).

97393296 is an abundant number, since it is smaller than the sum of its proper divisors (240585072).

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

97393296 is a wasteful number, since it uses less digits than its factorization.

97393296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2063 counting only the distinct ones).

The product of its digits is 551124, while the sum is 48.

The square root of 97393296 is about 9868.8041828785. The cubic root of 97393296 is about 460.0902406449.

It can be divided in two parts, 97 and 393296, that added together give a palindrome (393393).

The spelling of 97393296 in words is "ninety-seven million, three hundred ninety-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 728 858 924 1001 1092 1144 1232 1456 1716 1848 2002 2027 2184 2288 3003 3432 3696 4004 4054 4368 6006 6081 6864 8008 8108 12012 12162 14189 16016 16216 22297 24024 24324 26351 28378 32432 42567 44594 48048 48648 52702 56756 66891 79053 85134 89188 97296 105404 113512 133782 156079 158106 170268 178376 184457 210808 227024 267564 289861 312158 316212 340536 356752 368914 421616 468237 535128 553371 579722 624316 632424 681072 737828 869583 936474 1070256 1106742 1159444 1248632 1264848 1475656 1739166 1872948 2029027 2213484 2318888 2497264 2951312 3478332 3745896 4058054 4426968 4637776 6087081 6956664 7491792 8116108 8853936 12174162 13913328 16232216 24348324 32464432 48696648 97393296