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97042242 = 23112349383
BaseRepresentation
bin1011100100010…
…11111101000010
320202121020221010
411302023331002
5144320322432
613343541350
72255562663
oct562137502
9222536833
1097042242
114a861300
12285ba856
131714945b
14cc6136a
1587bd3cc
hex5c8bf42

97042242 has 48 divisors (see below), whose sum is σ = 214502400. Its totient is φ = 29245920.

The previous prime is 97042237. The next prime is 97042247. The reversal of 97042242 is 24224079.

It is an interprime number because it is at equal distance from previous prime (97042237) and next prime (97042247).

It is not an unprimeable number, because it can be changed into a prime (97042247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253183 + ... + 253565.

It is an arithmetic number, because the mean of its divisors is an integer number (4468800).

Almost surely, 297042242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97042242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107251200).

97042242 is an abundant number, since it is smaller than the sum of its proper divisors (117460158).

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

97042242 is a wasteful number, since it uses less digits than its factorization.

97042242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 97042242 is about 9851.0020810068. The cubic root of 97042242 is about 459.5367769140.

The spelling of 97042242 in words is "ninety-seven million, forty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 349 363 383 698 726 766 1047 1149 2094 2298 3839 4213 7678 8426 11517 12639 23034 25278 42229 46343 84458 92686 126687 133667 139029 253374 267334 278058 401001 802002 1470337 2940674 4411011 8822022 16173707 32347414 48521121 97042242