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97989376 = 282967197
BaseRepresentation
bin1011101011100…
…11001100000000
320211101101011011
411311303030000
5200041130001
613420130304
72266616212
oct565631400
9224341134
1097989376
1150348961
1228996994
13173bb5a4
14d02a5b2
158908d51
hex5d73300

97989376 has 72 divisors (see below), whose sum is σ = 206403120. Its totient is φ = 46362624.

The previous prime is 97989371. The next prime is 97989413. The reversal of 97989376 is 67398979.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 97989376.

It is not an unprimeable number, because it can be changed into a prime (97989371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 497310 + ... + 497506.

It is an arithmetic number, because the mean of its divisors is an integer number (2866710).

Almost surely, 297989376 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 97989376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103201560).

97989376 is an abundant number, since it is smaller than the sum of its proper divisors (108413744).

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

97989376 is a wasteful number, since it uses less digits than its factorization.

97989376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 295 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 58.

The square root of 97989376 is about 9898.9583290364. The cubic root of 97989376 is about 461.0269683061.

The spelling of 97989376 in words is "ninety-seven million, nine hundred eighty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 64 67 116 128 134 197 232 256 268 394 464 536 788 928 1072 1576 1856 1943 2144 3152 3712 3886 4288 5713 6304 7424 7772 8576 11426 12608 13199 15544 17152 22852 25216 26398 31088 45704 50432 52796 62176 91408 105592 124352 182816 211184 248704 365632 382771 422368 497408 731264 765542 844736 1462528 1531084 1689472 3062168 3378944 6124336 12248672 24497344 48994688 97989376