Search a number
-
+
158420352 = 2731632531
BaseRepresentation
bin10010111000101…
…00110110000000
3102001002120212110
421130110312000
5311023422402
623415255320
73632356626
oct1134246600
9361076773
10158420352
1181473612
124507a540
1326a8976c
141707b516
15dd9456c
hex9714d80

158420352 has 64 divisors (see below), whose sum is σ = 423552960. Its totient is φ = 52462080.

The previous prime is 158420341. The next prime is 158420377. The reversal of 158420352 is 253024851.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61327 + ... + 63857.

It is an arithmetic number, because the mean of its divisors is an integer number (6618015).

Almost surely, 2158420352 is an apocalyptic number.

158420352 is a gapful number since it is divisible by the number (12) 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 158420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211776480).

158420352 is an abundant number, since it is smaller than the sum of its proper divisors (265132608).

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

158420352 is a wasteful number, since it uses less digits than its factorization.

158420352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 158420352 is about 12586.5146883480. The cubic root of 158420352 is about 541.0910178134.

The spelling of 158420352 in words is "one hundred fifty-eight million, four hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 163 192 326 384 489 652 978 1304 1956 2531 2608 3912 5062 5216 7593 7824 10124 10432 15186 15648 20248 20864 30372 31296 40496 60744 62592 80992 121488 161984 242976 323968 412553 485952 825106 971904 1237659 1650212 2475318 3300424 4950636 6600848 9901272 13201696 19802544 26403392 39605088 52806784 79210176 158420352