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855016704 = 28323111971
BaseRepresentation
bin110010111101101…
…000010100000000
32012120212100102100
4302331220110000
53222341013304
6220501550400
730121344033
oct6275502400
92176770370
10855016704
113a96a8783
121ba415400
131081a6859
14817ab01a
15500e3439
hex32f68500

855016704 has 108 divisors (see below), whose sum is σ = 2544959872. Its totient is φ = 275788800.

The previous prime is 855016693. The next prime is 855016709. The reversal of 855016704 is 407610558.

855016704 is a `hidden beast` number, since 85 + 501 + 6 + 70 + 4 = 666.

It is a super-4 number, since 4×8550167044 (a number of 37 digits) contains 4444 as substring.

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 (855016709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65439 + ... + 77409.

Almost surely, 2855016704 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 855016704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272479936).

855016704 is an abundant number, since it is smaller than the sum of its proper divisors (1689943168).

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

855016704 is a wasteful number, since it uses less digits than its factorization.

855016704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12024 (or 12007 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 855016704 is about 29240.6686654050. The cubic root of 855016704 is about 949.1281767115.

The spelling of 855016704 in words is "eight hundred fifty-five million, sixteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 558 576 744 768 992 1116 1152 1488 1984 2232 2304 2976 3968 4464 5952 7936 8928 11904 11971 17856 23808 23942 35712 35913 47884 71424 71826 95768 107739 143652 191536 215478 287304 371101 383072 430956 574608 742202 766144 861912 1113303 1149216 1484404 1532288 1723824 2226606 2298432 2968808 3064576 3339909 3447648 4453212 4596864 5937616 6679818 6895296 8906424 9193728 11875232 13359636 13790592 17812848 23750464 26719272 27581184 35625696 47500928 53438544 71251392 95001856 106877088 142502784 213754176 285005568 427508352 855016704