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97461042 = 23761109349
BaseRepresentation
bin1011100111100…
…10001100110010
320210101112102020
411303302030302
5144422223132
613400532310
72262255660
oct563621462
9223345366
1097461042
1150017a18
1228781096
1317264c73
14cd2dc30
15885252c
hex5cf2332

97461042 has 64 divisors (see below), whose sum is σ = 229152000. Its totient is φ = 27060480.

The previous prime is 97460999. The next prime is 97461043. The reversal of 97461042 is 24016479.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 97460994 and 97461012.

It is not an unprimeable number, because it can be changed into a prime (97461043) 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, 279084 + ... + 279432.

It is an arithmetic number, because the mean of its divisors is an integer number (3580500).

Almost surely, 297461042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97461042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114576000).

97461042 is an abundant number, since it is smaller than the sum of its proper divisors (131690958).

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

97461042 is a wasteful number, since it uses less digits than its factorization.

97461042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 97461042 is about 9872.2359169542. The cubic root of 97461042 is about 460.1968942870.

The spelling of 97461042 in words is "ninety-seven million, four hundred sixty-one thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 42 61 109 122 183 218 327 349 366 427 654 698 763 854 1047 1281 1526 2094 2289 2443 2562 4578 4886 6649 7329 13298 14658 19947 21289 38041 39894 42578 46543 63867 76082 93086 114123 127734 139629 149023 228246 266287 279258 298046 447069 532574 798861 894138 1597722 2320501 4641002 6961503 13923006 16243507 32487014 48730521 97461042