Search a number
-
+
149158464 = 2637138537
BaseRepresentation
bin10001110001111…
…11101001000000
3101101200000221120
420320333221000
5301141032324
622444552240
73460553220
oct1070775100
9341600846
10149158464
1177217a64
1241b52680
1324b95b60
1415b4a080
15d165179
hex8e3fa40

149158464 has 112 divisors (see below), whose sum is σ = 485778048. Its totient is φ = 39333888.

The previous prime is 149158441. The next prime is 149158469. The reversal of 149158464 is 464851941.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (149158469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13204 + ... + 21740.

It is an arithmetic number, because the mean of its divisors is an integer number (4337304).

Almost surely, 2149158464 is an apocalyptic number.

149158464 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 149158464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242889024).

149158464 is an abundant number, since it is smaller than the sum of its proper divisors (336619584).

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

149158464 is a wasteful number, since it uses less digits than its factorization.

149158464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8572 (or 8562 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 149158464 is about 12213.0448291980. The cubic root of 149158464 is about 530.3337923451. Note that the first 3 decimals are identical.

The spelling of 149158464 in words is "one hundred forty-nine million, one hundred fifty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8537 8736 17074 17472 25611 34148 51222 59759 68296 102444 110981 119518 136592 179277 204888 221962 239036 273184 332943 358554 409776 443924 478072 546368 665886 717108 776867 819552 887848 956144 1331772 1434216 1553734 1639104 1775696 1912288 2330601 2663544 2868432 3107468 3551392 3824576 4661202 5327088 5736864 6214936 7102784 9322404 10654176 11473728 12429872 18644808 21308352 24859744 37289616 49719488 74579232 149158464