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14890752 = 283223281
BaseRepresentation
bin111000110011…
…011100000000
31001000112021100
4320303130000
512303001002
61251054400
7240366162
oct70633400
931015240
1014890752
118450708
124ba1400
1331149c6
141d98932
15149211c
hexe33700

14890752 has 108 divisors (see below), whose sum is σ = 44959824. Its totient is φ = 4730880.

The previous prime is 14890751. The next prime is 14890753. The reversal of 14890752 is 25709841.

It is an interprime number because it is at equal distance from previous prime (14890751) and next prime (14890753).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14890751) 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, 52852 + ... + 53132.

Almost surely, 214890752 is an apocalyptic number.

14890752 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 14890752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22479912).

14890752 is an abundant number, since it is smaller than the sum of its proper divisors (30069072).

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

14890752 is a wasteful number, since it uses less digits than its factorization.

14890752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 14890752 is about 3858.8537158073. The cubic root of 14890752 is about 246.0210174389.

The spelling of 14890752 in words is "fourteen million, eight hundred ninety thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 281 288 368 384 414 552 562 576 736 768 828 843 1104 1124 1152 1472 1656 1686 2208 2248 2304 2529 2944 3312 3372 4416 4496 5058 5888 6463 6624 6744 8832 8992 10116 12926 13248 13488 17664 17984 19389 20232 25852 26496 26976 35968 38778 40464 51704 52992 53952 58167 71936 77556 80928 103408 107904 116334 155112 161856 206816 215808 232668 310224 323712 413632 465336 620448 647424 827264 930672 1240896 1654528 1861344 2481792 3722688 4963584 7445376 14890752