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197825796 = 223271979523
BaseRepresentation
bin10111100101010…
…01010100000100
3111210020120222100
423302221110010
5401120411141
631344032100
74621330410
oct1362512404
9453216870
10197825796
11a17384a3
1256302630
1331ca57ac
141c3b7d40
151257a0b6
hexbca9504

197825796 has 144 divisors (see below), whose sum is σ = 610355200. Its totient is φ = 52767936.

The previous prime is 197825759. The next prime is 197825807. The reversal of 197825796 is 697528791.

197825796 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

197825796 is strictly pandigital in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377991 + ... + 378513.

Almost surely, 2197825796 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 197825796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305177600).

197825796 is an abundant number, since it is smaller than the sum of its proper divisors (412529404).

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

197825796 is a wasteful number, since it uses less digits than its factorization.

197825796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 633 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The square root of 197825796 is about 14065.0558477384. The cubic root of 197825796 is about 582.6766848453.

The spelling of 197825796 in words is "one hundred ninety-seven million, eight hundred twenty-five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 79 84 114 126 133 158 171 228 237 252 266 316 342 399 474 523 532 553 684 711 798 948 1046 1106 1197 1422 1501 1569 1596 1659 2092 2212 2394 2844 3002 3138 3318 3661 4503 4707 4788 4977 6004 6276 6636 7322 9006 9414 9937 9954 10507 10983 13509 14644 18012 18828 19874 19908 21014 21966 27018 29811 31521 32949 39748 41317 42028 43932 54036 59622 63042 65898 69559 82634 89433 94563 119244 123951 126084 131796 139118 165268 178866 189126 208677 247902 278236 289219 357732 371853 378252 417354 495804 578438 626031 743706 785023 834708 867657 1156876 1252062 1487412 1570046 1735314 2355069 2504124 2602971 3140092 3470628 4710138 5205942 5495161 7065207 9420276 10411884 10990322 14130414 16485483 21980644 28260828 32970966 49456449 65941932 98912898 197825796