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97956378 = 23413193241
BaseRepresentation
bin1011101011010…
…11001000011010
320211022200220000
411311223020122
5200034101003
613415313430
72266421052
oct565531032
9224280800
1097956378
1150326093
122897b876
13173a9570
14d01c562
1588ee1a3
hex5d6b21a

97956378 has 80 divisors (see below), whose sum is σ = 238589736. Its totient is φ = 29859840.

The previous prime is 97956371. The next prime is 97956401. The reversal of 97956378 is 87365979.

97956378 is a `hidden beast` number, since 9 + 7 + 9 + 563 + 78 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 67519089 + 30437289 = 8217^2 + 5517^2 .

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

It is not an unprimeable number, because it can be changed into a prime (97956371) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 406338 + ... + 406578.

Almost surely, 297956378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97956378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119294868).

97956378 is an abundant number, since it is smaller than the sum of its proper divisors (140633358).

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

97956378 is a wasteful number, since it uses less digits than its factorization.

97956378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 452 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 97956378 is about 9897.2914476639. The cubic root of 97956378 is about 460.9752120971.

The spelling of 97956378 in words is "ninety-seven million, nine hundred fifty-six thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 193 234 241 351 386 482 579 702 723 1053 1158 1446 1737 2106 2169 2509 3133 3474 4338 5018 5211 6266 6507 7527 9399 10422 13014 15054 15633 18798 19521 22581 28197 31266 39042 45162 46513 56394 67743 84591 93026 135486 139539 169182 203229 253773 279078 406458 418617 507546 604669 837234 1209338 1255851 1814007 2511702 3628014 3767553 5442021 7535106 10884042 16326063 32652126 48978189 97956378