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97908216 = 23371937829
BaseRepresentation
bin1011101010111…
…11010111111000
320211020020211020
411311133113320
5200031030331
613414302440
72266130460
oct565372770
9224206736
1097908216
11502a298a
1228957a20
1317390673
14d008ba0
1588dec96
hex5d5f5f8

97908216 has 128 divisors (see below), whose sum is σ = 302784000. Its totient is φ = 25754112.

The previous prime is 97908203. The next prime is 97908271. The reversal of 97908216 is 61280979.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 117690 + ... + 118518.

It is an arithmetic number, because the mean of its divisors is an integer number (2365500).

Almost surely, 297908216 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 97908216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151392000).

97908216 is an abundant number, since it is smaller than the sum of its proper divisors (204875784).

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

97908216 is a wasteful number, since it uses less digits than its factorization.

97908216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 97908216 is about 9894.8580586080. The cubic root of 97908216 is about 460.8996508177.

The spelling of 97908216 in words is "ninety-seven million, nine hundred eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 37 38 42 56 57 74 76 84 111 114 133 148 152 168 222 228 259 266 296 399 444 456 518 532 703 777 798 829 888 1036 1064 1406 1554 1596 1658 2072 2109 2487 2812 3108 3192 3316 4218 4921 4974 5624 5803 6216 6632 8436 9842 9948 11606 14763 15751 16872 17409 19684 19896 23212 29526 30673 31502 34818 39368 46424 47253 59052 61346 63004 69636 92019 94506 110257 118104 122692 126008 139272 184038 189012 214711 220514 245384 330771 368076 378024 429422 441028 582787 644133 661542 736152 858844 882056 1165574 1288266 1323084 1717688 1748361 2331148 2576532 2646168 3496722 4079509 4662296 5153064 6993444 8159018 12238527 13986888 16318036 24477054 32636072 48954108 97908216