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42297888 = 2533161233
BaseRepresentation
bin1010000101011…
…0101000100000
32221120221210110
42201112220200
541312013023
64110331320
71022345313
oct241265040
987527713
1042297888
1121970036
12121b9b40
1389bc749
14589097a
153aa7a93
hex2856a20

42297888 has 96 divisors (see below), whose sum is σ = 116992512. Its totient is φ = 13363200.

The previous prime is 42297859. The next prime is 42297889. The reversal of 42297888 is 88879224.

42297888 = T1147 + T1148 + ... + T1207.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×422978882 = 3578222658521088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42297889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181420 + ... + 181652.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 242297888 is an apocalyptic number.

42297888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42297888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58496256).

42297888 is an abundant number, since it is smaller than the sum of its proper divisors (74694624).

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

42297888 is a wasteful number, since it uses less digits than its factorization.

42297888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 42297888 is about 6503.6826490843. The cubic root of 42297888 is about 348.4225281280.

The spelling of 42297888 in words is "forty-two million, two hundred ninety-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 61 62 93 96 122 124 183 186 233 244 248 366 372 466 488 496 699 732 744 932 976 992 1398 1464 1488 1864 1891 1952 2796 2928 2976 3728 3782 5592 5673 5856 7223 7456 7564 11184 11346 14213 14446 15128 21669 22368 22692 28426 28892 30256 42639 43338 45384 56852 57784 60512 85278 86676 90768 113704 115568 170556 173352 181536 227408 231136 341112 346704 440603 454816 682224 693408 881206 1321809 1364448 1762412 2643618 3524824 5287236 7049648 10574472 14099296 21148944 42297888