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38241072 = 2434191553
BaseRepresentation
bin1001000111100…
…0001100110000
32122221211220000
42101320030300
534242203242
63443350000
7643021002
oct221701460
978854800
1038241072
111a64a0a1
1210982300
137bcc06c
145116372
153555a4c
hex2478330

38241072 has 100 divisors (see below), whose sum is σ = 116581080. Its totient is φ = 12068352.

The previous prime is 38241067. The next prime is 38241107. The reversal of 38241072 is 27014283.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23848 + ... + 25400.

Almost surely, 238241072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38241072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58290540).

38241072 is an abundant number, since it is smaller than the sum of its proper divisors (78340008).

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

38241072 is a wasteful number, since it uses less digits than its factorization.

38241072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 38241072 is about 6183.9366102831. The cubic root of 38241072 is about 336.9069882757.

The spelling of 38241072 in words is "thirty-eight million, two hundred forty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 304 324 342 432 456 513 648 684 912 1026 1296 1368 1539 1553 2052 2736 3078 3106 4104 4659 6156 6212 8208 9318 12312 12424 13977 18636 24624 24848 27954 29507 37272 41931 55908 59014 74544 83862 88521 111816 118028 125793 167724 177042 223632 236056 251586 265563 335448 354084 472112 503172 531126 670896 708168 796689 1006344 1062252 1416336 1593378 2012688 2124504 2390067 3186756 4249008 4780134 6373512 9560268 12747024 19120536 38241072