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144590992 = 2471327639
BaseRepresentation
bin10001001111001…
…00100010010000
3101002001222112221
420213210202100
5244003402432
622203030424
73404001040
oct1047444220
9332058487
10144590992
1174688397
124050b414
1323c56c00
14152bb720
15ca61b97
hex89e4890

144590992 has 60 divisors (see below), whose sum is σ = 346733760. Its totient is φ = 57193344.

The previous prime is 144590989. The next prime is 144590993. The reversal of 144590992 is 299095441.

It is not an unprimeable number, because it can be changed into a prime (144590993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15109 + ... + 22747.

It is an arithmetic number, because the mean of its divisors is an integer number (5778896).

Almost surely, 2144590992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144590992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173366880).

144590992 is an abundant number, since it is smaller than the sum of its proper divisors (202142768).

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

144590992 is a wasteful number, since it uses less digits than its factorization.

144590992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7680 (or 7661 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The square root of 144590992 is about 12024.5994527884. The cubic root of 144590992 is about 524.8643543739.

The spelling of 144590992 in words is "one hundred forty-four million, five hundred ninety thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 169 182 208 338 364 676 728 1183 1352 1456 2366 2704 4732 7639 9464 15278 18928 30556 53473 61112 99307 106946 122224 198614 213892 397228 427784 695149 794456 855568 1290991 1390298 1588912 2581982 2780596 5163964 5561192 9036937 10327928 11122384 18073874 20655856 36147748 72295496 144590992