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14978172 = 22311233487
BaseRepresentation
bin111001001000…
…110001111100
31001011222012010
4321020301330
512313300142
61253011220
7241212066
oct71106174
931158163
1014978172
118500360
125023b10
133145731
141dbc736
1514ace9c
hexe48c7c

14978172 has 48 divisors (see below), whose sum is σ = 38368512. Its totient is φ = 4510080.

The previous prime is 14978111. The next prime is 14978209. The reversal of 14978172 is 27187941.

14978172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×149781723 (a number of 23 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14978172.

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, 30513 + ... + 30999.

It is an arithmetic number, because the mean of its divisors is an integer number (799344).

Almost surely, 214978172 is an apocalyptic number.

14978172 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 14978172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19184256).

14978172 is an abundant number, since it is smaller than the sum of its proper divisors (23390340).

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

14978172 is a wasteful number, since it uses less digits than its factorization.

14978172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 736 counting only the distinct ones).

The product of its digits is 28224, while the sum is 39.

The square root of 14978172 is about 3870.1643375960. The cubic root of 14978172 is about 246.5015216316.

It can be divided in two parts, 1497 and 8172, that added together give a palindrome (9669).

The spelling of 14978172 in words is "fourteen million, nine hundred seventy-eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 233 466 487 699 932 974 1398 1461 1948 2563 2796 2922 5126 5357 5844 7689 10252 10714 15378 16071 21428 30756 32142 64284 113471 226942 340413 453884 680826 1248181 1361652 2496362 3744543 4992724 7489086 14978172