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855397368 = 233374712037
BaseRepresentation
bin110010111111000…
…101001111111000
32012121120200121000
4302333011033320
53222440203433
6220514045000
730124520610
oct6277051770
92177520530
10855397368
113a9938781
121ba579760
131082aabb7
1481869a40
155016b113
hex32fc53f8

855397368 has 128 divisors (see below), whose sum is σ = 2773555200. Its totient is φ = 239179392.

The previous prime is 855397363. The next prime is 855397373. The reversal of 855397368 is 863793558.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (855397363) and next prime (855397373).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5443200) is a multiple of the sum of its prime divisors (12096).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (855397363) 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, 65046 + ... + 77082.

It is an arithmetic number, because the mean of its divisors is an integer number (21668400).

Almost surely, 2855397368 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 855397368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386777600).

855397368 is an abundant number, since it is smaller than the sum of its proper divisors (1918157832).

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

855397368 is a wasteful number, since it uses less digits than its factorization.

855397368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12106 (or 12096 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 855397368 is about 29247.1770945505. The cubic root of 855397368 is about 949.2690103434.

The spelling of 855397368 in words is "eight hundred fifty-five million, three hundred ninety-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 47 54 56 63 72 84 94 108 126 141 168 188 189 216 252 282 329 376 378 423 504 564 658 756 846 987 1128 1269 1316 1512 1692 1974 2538 2632 2961 3384 3948 5076 5922 7896 8883 10152 11844 12037 17766 23688 24074 35532 36111 48148 71064 72222 84259 96296 108333 144444 168518 216666 252777 288888 324999 337036 433332 505554 565739 649998 674072 758331 866664 1011108 1131478 1299996 1516662 1697217 2022216 2262956 2274993 2599992 3033324 3394434 3960173 4525912 4549986 5091651 6066648 6788868 7920346 9099972 10183302 11880519 13577736 15274953 15840692 18199944 20366604 23761038 30549906 31681384 35641557 40733208 47522076 61099812 71283114 95044152 106924671 122199624 142566228 213849342 285132456 427698684 855397368