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97036272 = 24331773181
BaseRepresentation
bin1011100100010…
…10011111110000
320202120221202000
411302022133300
5144320130042
613343454000
72255536404
oct562123760
9222527660
1097036272
114a857873
12285b7300
1317146818
14cc5d104
1587bb74c
hex5c8a7f0

97036272 has 160 divisors (see below), whose sum is σ = 300605760. Its totient is φ = 29859840.

The previous prime is 97036259. The next prime is 97036279. The reversal of 97036272 is 27263079.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97036279) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536022 + ... + 536202.

It is an arithmetic number, because the mean of its divisors is an integer number (1878786).

Almost surely, 297036272 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 97036272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150302880).

97036272 is an abundant number, since it is smaller than the sum of its proper divisors (203569488).

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

97036272 is a wasteful number, since it uses less digits than its factorization.

97036272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 97036272 is about 9850.6990614880. The cubic root of 97036272 is about 459.5273532144.

The spelling of 97036272 in words is "ninety-seven million, thirty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 73 102 108 136 144 146 153 181 204 216 219 272 292 306 362 408 432 438 459 543 584 612 657 724 816 876 918 1086 1168 1224 1241 1314 1448 1629 1752 1836 1971 2172 2448 2482 2628 2896 3077 3258 3504 3672 3723 3942 4344 4887 4964 5256 6154 6516 7344 7446 7884 8688 9231 9774 9928 10512 11169 12308 13032 13213 14892 15768 18462 19548 19856 22338 24616 26064 26426 27693 29784 31536 33507 36924 39096 39639 44676 49232 52852 55386 59568 67014 73848 78192 79278 83079 89352 105704 110772 118917 134028 147696 158556 166158 178704 211408 221544 224621 237834 268056 317112 332316 356751 443088 449242 475668 536112 634224 664632 673863 713502 898484 951336 1329264 1347726 1427004 1796968 1902672 2021589 2695452 2854008 3593936 4043178 5390904 5708016 6064767 8086356 10781808 12129534 16172712 24259068 32345424 48518136 97036272