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14492952 = 2333229293
BaseRepresentation
bin110111010010…
…010100011000
31000021022121000
4313102110120
512202233302
61234345000
7234121335
oct67222430
930238530
1014492952
1181a9851
124a2b160
133005916
141cd398c
15141431c
hexdd2518

14492952 has 64 divisors (see below), whose sum is σ = 40572000. Its totient is φ = 4793472.

The previous prime is 14492941. The next prime is 14492963. The reversal of 14492952 is 25929441.

It is an interprime number because it is at equal distance from previous prime (14492941) and next prime (14492963).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49318 + ... + 49610.

Almost surely, 214492952 is an apocalyptic number.

14492952 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 14492952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20286000).

14492952 is an abundant number, since it is smaller than the sum of its proper divisors (26079048).

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

14492952 is a wasteful number, since it uses less digits than its factorization.

14492952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 527 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 14492952 is about 3806.9609927080. The cubic root of 14492952 is about 243.8104323532.

It can be divided in two parts, 144 and 92952, that added together give a triangular number (93096 = T431).

The spelling of 14492952 in words is "fourteen million, four hundred ninety-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 229 293 458 586 687 879 916 1172 1374 1758 1832 2061 2344 2637 2748 3516 4122 5274 5496 6183 7032 7911 8244 10548 12366 15822 16488 21096 24732 31644 49464 63288 67097 134194 201291 268388 402582 536776 603873 805164 1207746 1610328 1811619 2415492 3623238 4830984 7246476 14492952