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10449972 = 223513827
BaseRepresentation
bin100111110111…
…010000110100
3201122220200000
4213313100310
510133344342
61011551300
7154552251
oct47672064
921586600
1010449972
115998245
1235bb530
13221b620
141560428
15db644c
hex9f7434

10449972 has 72 divisors (see below), whose sum is σ = 29536416. Its totient is φ = 3211488.

The previous prime is 10449961. The next prime is 10449979. The reversal of 10449972 is 27994401.

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 (10449979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12223 + ... + 13049.

It is an arithmetic number, because the mean of its divisors is an integer number (410228).

Almost surely, 210449972 is an apocalyptic number.

10449972 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 10449972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14768208).

10449972 is an abundant number, since it is smaller than the sum of its proper divisors (19086444).

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

10449972 is a wasteful number, since it uses less digits than its factorization.

10449972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 10449972 is about 3232.6416442284. The cubic root of 10449972 is about 218.6276276645.

The spelling of 10449972 in words is "ten million, four hundred forty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 827 972 1053 1404 1654 2106 2481 3159 3308 4212 4962 6318 7443 9924 10751 12636 14886 21502 22329 29772 32253 43004 44658 64506 66987 89316 96759 129012 133974 193518 200961 267948 290277 387036 401922 580554 803844 870831 1161108 1741662 2612493 3483324 5224986 10449972