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61440498 = 23372337191
BaseRepresentation
bin1110101001100…
…0000111110010
311021121111112000
43222120013302
5111212043443
610032514430
71344143550
oct352300762
9137544460
1061440498
1131755179
12186aba16
13c962832
148234bd0
1555d98d3
hex3a981f2

61440498 has 128 divisors (see below), whose sum is σ = 168099840. Its totient is φ = 16251840.

The previous prime is 61440493. The next prime is 61440517. The reversal of 61440498 is 89404416.

It is a happy number.

61440498 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61440493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 321583 + ... + 321773.

It is an arithmetic number, because the mean of its divisors is an integer number (1313280).

Almost surely, 261440498 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61440498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84049920).

61440498 is an abundant number, since it is smaller than the sum of its proper divisors (106659342).

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

61440498 is a wasteful number, since it uses less digits than its factorization.

61440498 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 61440498 is about 7838.3989436619. The cubic root of 61440498 is about 394.5949980129.

The spelling of 61440498 in words is "sixty-one million, four hundred forty thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 37 42 46 54 63 69 74 111 126 138 161 189 191 207 222 259 322 333 378 382 414 483 518 573 621 666 777 851 966 999 1146 1242 1337 1449 1554 1702 1719 1998 2331 2553 2674 2898 3438 4011 4347 4393 4662 5106 5157 5957 6993 7067 7659 8022 8694 8786 10314 11914 12033 13179 13986 14134 15318 17871 21201 22977 24066 26358 30751 35742 36099 39537 42402 45954 49469 53613 61502 63603 72198 79074 92253 98938 107226 118611 127206 148407 160839 162541 184506 190809 237222 276759 296814 321678 325082 381618 445221 487623 553518 830277 890442 975246 1137787 1335663 1462869 1660554 2275574 2671326 2925738 3413361 4388607 6826722 8777214 10240083 20480166 30720249 61440498