Search a number
-
+
394861152 = 25372512341
BaseRepresentation
bin10111100010010…
…001101001100000
31000112000000200010
4113202101221200
51302041024102
6103103124520
712533156460
oct2742215140
91015000603
10394861152
11192986034
12b02a3740
1363a6256a
143a627ba0
15249ead6c
hex17891a60

394861152 has 96 divisors (see below), whose sum is σ = 1189810944. Its totient is φ = 112320000.

The previous prime is 394861141. The next prime is 394861153. The reversal of 394861152 is 251168493.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 394861152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394861153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167502 + ... + 169842.

It is an arithmetic number, because the mean of its divisors is an integer number (12393864).

Almost surely, 2394861152 is an apocalyptic number.

394861152 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 394861152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594905472).

394861152 is an abundant number, since it is smaller than the sum of its proper divisors (794949792).

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

394861152 is a wasteful number, since it uses less digits than its factorization.

394861152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612 (or 2604 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 394861152 is about 19871.1135067967. The cubic root of 394861152 is about 733.6374107194.

The spelling of 394861152 in words is "three hundred ninety-four million, eight hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 251 336 502 672 753 1004 1506 1757 2008 2341 3012 3514 4016 4682 5271 6024 7023 7028 8032 9364 10542 12048 14046 14056 16387 18728 21084 24096 28092 28112 32774 37456 42168 49161 56184 56224 65548 74912 84336 98322 112368 131096 168672 196644 224736 262192 393288 524384 587591 786576 1175182 1573152 1762773 2350364 3525546 4113137 4700728 7051092 8226274 9401456 12339411 14102184 16452548 18802912 24678822 28204368 32905096 49357644 56408736 65810192 98715288 131620384 197430576 394861152