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97388172 = 2232717127179
BaseRepresentation
bin1011100111000…
…00011010001100
320210020211110100
411303200122030
5144412410142
613355211100
72261533350
oct563403214
9223224410
1097388172
114aa781a2
1228746a90
131723aa4b
14cd11460
15883ab4c
hex5ce068c

97388172 has 144 divisors (see below), whose sum is σ = 301916160. Its totient is φ = 25837056.

The previous prime is 97388171. The next prime is 97388197. The reversal of 97388172 is 27188379.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97388171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543979 + ... + 544157.

It is an arithmetic number, because the mean of its divisors is an integer number (2096640).

Almost surely, 297388172 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 97388172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

97388172 is an abundant number, since it is smaller than the sum of its proper divisors (204527988).

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

97388172 is a wasteful number, since it uses less digits than its factorization.

97388172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 335 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 97388172 is about 9868.5445735427. The cubic root of 97388172 is about 460.0821718358.

The spelling of 97388172 in words is "ninety-seven million, three hundred eighty-eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 127 153 179 204 238 252 254 306 357 358 381 476 508 537 612 714 716 762 889 1071 1074 1143 1253 1428 1524 1611 1778 2142 2148 2159 2286 2506 2667 3043 3222 3556 3759 4284 4318 4572 5012 5334 6086 6444 6477 7518 8001 8636 9129 10668 11277 12172 12954 15036 15113 16002 18258 19431 21301 22554 22733 25908 27387 30226 32004 36516 38862 42602 45108 45339 45466 54774 60452 63903 68199 77724 85204 90678 90932 109548 127806 136017 136398 159131 181356 191709 204597 255612 272034 272796 318262 383418 386461 409194 477393 544068 636524 766836 772922 818388 954786 1159383 1432179 1545844 1909572 2318766 2705227 2864358 3478149 4637532 5410454 5728716 6956298 8115681 10820908 13912596 16231362 24347043 32462724 48694086 97388172