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144671952 = 24329432417
BaseRepresentation
bin10001001111110…
…00010011010000
3101002020002121110
420213320103100
5244014000302
622204453320
73404456055
oct1047702320
9332202543
10144671952
11747331a7
124054a240
1323c84a09
14152dd02c
15ca7ab6c
hex89f84d0

144671952 has 80 divisors (see below), whose sum is σ = 395778240. Its totient is φ = 45459456.

The previous prime is 144671897. The next prime is 144671983. The reversal of 144671952 is 259176441.

It is a self number, because there is not a number n which added to its sum of digits gives 144671952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58648 + ... + 61064.

It is an arithmetic number, because the mean of its divisors is an integer number (4947228).

Almost surely, 2144671952 is an apocalyptic number.

144671952 is a gapful number since it is divisible by the number (12) 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 144671952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197889120).

144671952 is an abundant number, since it is smaller than the sum of its proper divisors (251106288).

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

144671952 is a wasteful number, since it uses less digits than its factorization.

144671952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2494 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 144671952 is about 12027.9654139842. The cubic root of 144671952 is about 524.9622975192.

The spelling of 144671952 in words is "one hundred forty-four million, six hundred seventy-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 43 48 58 86 87 116 129 172 174 232 258 344 348 464 516 688 696 1032 1247 1392 2064 2417 2494 3741 4834 4988 7251 7482 9668 9976 14502 14964 19336 19952 29004 29928 38672 58008 59856 70093 103931 116016 140186 207862 210279 280372 311793 415724 420558 560744 623586 831448 841116 1121488 1247172 1662896 1682232 2494344 3013999 3364464 4988688 6027998 9041997 12055996 18083994 24111992 36167988 48223984 72335976 144671952