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94198896 = 24331143461
BaseRepresentation
bin1011001110101…
…01110001110000
320120020210121000
411213111301300
5143103331041
613203002000
72222451231
oct547256160
9216223530
1094198896
114919a030
1227669300
13166921bc
14c721088
15840abb6
hex59d5c70

94198896 has 160 divisors (see below), whose sum is σ = 302480640. Its totient is φ = 27820800.

The previous prime is 94198891. The next prime is 94198913. The reversal of 94198896 is 69889149.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94198891) 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, 204106 + ... + 204566.

It is an arithmetic number, because the mean of its divisors is an integer number (1890504).

Almost surely, 294198896 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 94198896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151240320).

94198896 is an abundant number, since it is smaller than the sum of its proper divisors (208281744).

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

94198896 is a wasteful number, since it uses less digits than its factorization.

94198896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 520 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 94198896 is about 9705.6115726934. The cubic root of 94198896 is about 455.0040590549.

The spelling of 94198896 in words is "ninety-four million, one hundred ninety-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 43 44 48 54 66 72 86 88 99 108 129 132 144 172 176 198 216 258 264 297 344 387 396 432 461 473 516 528 594 688 774 792 922 946 1032 1161 1188 1383 1419 1548 1584 1844 1892 2064 2322 2376 2766 2838 3096 3688 3784 4149 4257 4644 4752 5071 5532 5676 6192 7376 7568 8298 8514 9288 10142 11064 11352 12447 12771 15213 16596 17028 18576 19823 20284 22128 22704 24894 25542 30426 33192 34056 39646 40568 45639 49788 51084 59469 60852 66384 68112 79292 81136 91278 99576 102168 118938 121704 136917 158584 178407 182556 199152 204336 218053 237876 243408 273834 317168 356814 365112 436106 475752 535221 547668 654159 713628 730224 872212 951504 1070442 1095336 1308318 1427256 1744424 1962477 2140884 2190672 2616636 2854512 3488848 3924954 4281768 5233272 5887431 7849908 8563536 10466544 11774862 15699816 23549724 31399632 47099448 94198896