Search a number
-
+
155731464 = 23337127811
BaseRepresentation
bin10010100100001…
…00011000001000
3101212000222102000
421102010120020
5304331401324
623241511000
73600460410
oct1122043010
9355028360
10155731464
117a9a7399
12441a2460
13263578c5
141697b640
15da129c9
hex9484608

155731464 has 128 divisors (see below), whose sum is σ = 498892800. Its totient is φ = 44089920.

The previous prime is 155731403. The next prime is 155731487. The reversal of 155731464 is 464137551.

155731464 is a `hidden beast` number, since 15 + 573 + 14 + 64 = 666.

It is a super-3 number, since 3×1557314643 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191619 + ... + 192429.

It is an arithmetic number, because the mean of its divisors is an integer number (3897600).

Almost surely, 2155731464 is an apocalyptic number.

155731464 is a gapful number since it is divisible by the number (14) 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 155731464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249446400).

155731464 is an abundant number, since it is smaller than the sum of its proper divisors (343161336).

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

155731464 is a wasteful number, since it uses less digits than its factorization.

155731464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 950 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 155731464 is about 12479.2413230933. The cubic root of 155731464 is about 538.0121978228.

The spelling of 155731464 in words is "one hundred fifty-five million, seven hundred thirty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 127 168 189 216 252 254 378 381 504 508 756 762 811 889 1016 1143 1512 1524 1622 1778 2286 2433 2667 3048 3244 3429 3556 4572 4866 5334 5677 6488 6858 7112 7299 8001 9144 9732 10668 11354 13716 14598 16002 17031 19464 21336 21897 22708 24003 27432 29196 32004 34062 43794 45416 48006 51093 58392 64008 68124 87588 96012 102186 102997 136248 153279 175176 192024 204372 205994 306558 308991 408744 411988 613116 617982 720979 823976 926973 1226232 1235964 1441958 1853946 2162937 2471928 2780919 2883916 3707892 4325874 5561838 5767832 6488811 7415784 8651748 11123676 12977622 17303496 19466433 22247352 25955244 38932866 51910488 77865732 155731464