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15048072 = 23331323233
BaseRepresentation
bin111001011001…
…110110001000
31001022112002000
4321121312020
512323014242
61254311000
7241622634
oct71316610
931275060
1015048072
118548926
125058460
13316b4b0
141dd9dc4
1514c3a4c
hexe59d88

15048072 has 128 divisors (see below), whose sum is σ = 47174400. Its totient is φ = 4409856.

The previous prime is 15048067. The next prime is 15048073. The reversal of 15048072 is 27084051.

15048072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15048073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64468 + ... + 64700.

It is an arithmetic number, because the mean of its divisors is an integer number (368550).

Almost surely, 215048072 is an apocalyptic number.

15048072 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 15048072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

15048072 is an abundant number, since it is smaller than the sum of its proper divisors (32126328).

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

15048072 is a wasteful number, since it uses less digits than its factorization.

15048072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 15048072 is about 3879.1844503710. The cubic root of 15048072 is about 246.8843837057.

The spelling of 15048072 in words is "fifteen million, forty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 27 36 39 46 52 54 69 72 78 92 104 108 117 138 156 184 207 216 233 234 276 299 312 351 414 466 468 552 598 621 699 702 828 897 932 936 1196 1242 1398 1404 1656 1794 1864 2097 2392 2484 2691 2796 2808 3029 3588 4194 4968 5359 5382 5592 6058 6291 7176 8073 8388 9087 10718 10764 12116 12582 16077 16146 16776 18174 21436 21528 24232 25164 27261 32154 32292 36348 42872 48231 50328 54522 64308 64584 69667 72696 81783 96462 109044 128616 139334 144693 163566 192924 209001 218088 278668 289386 327132 385848 418002 557336 578772 627003 654264 836004 1157544 1254006 1672008 1881009 2508012 3762018 5016024 7524036 15048072