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388925152 = 25721122549
BaseRepresentation
bin10111001011101…
…000011011100000
31000002211110000021
4113023220123200
51244031101102
6102332003224
712431544400
oct2713503340
91002743007
10388925152
1118a5a1250
12aa300514
1362764735
1439920800
1524227137
hex172e86e0

388925152 has 72 divisors (see below), whose sum is σ = 971724600. Its totient is φ = 151522560.

The previous prime is 388925143. The next prime is 388925179. The reversal of 388925152 is 251529883.

It is a junction number, because it is equal to n+sod(n) for n = 388925099 and 388925108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5974 + ... + 28522.

It is an arithmetic number, because the mean of its divisors is an integer number (13496175).

Almost surely, 2388925152 is an apocalyptic number.

388925152 is a gapful number since it is divisible by the number (32) 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 388925152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485862300).

388925152 is an abundant number, since it is smaller than the sum of its proper divisors (582799448).

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

388925152 is a wasteful number, since it uses less digits than its factorization.

388925152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22584 (or 22569 counting only the distinct ones).

The product of its digits is 172800, while the sum is 43.

The square root of 388925152 is about 19721.1853599118. The cubic root of 388925152 is about 729.9425437984.

It can be divided in two parts, 38892 and 5152, that added together give a palindrome (44044).

The spelling of 388925152 in words is "three hundred eighty-eight million, nine hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 392 539 616 784 1078 1232 1568 2156 2464 4312 8624 17248 22549 45098 90196 157843 180392 248039 315686 360784 496078 631372 721568 992156 1104901 1262744 1736273 1984312 2209802 2525488 3472546 3968624 4419604 5050976 6945092 7937248 8839208 12153911 13890184 17678416 24307822 27780368 35356832 48615644 55560736 97231288 194462576 388925152