Search a number
-
+
152050944 = 283296827
BaseRepresentation
bin10010001000000…
…01110100000000
3101121002222200110
421010001310000
5302411112234
623030551320
73524261133
oct1104016400
9347088613
10152050944
1178913141
1242b08540
1325669596
14162a021a
15d5371e9
hex9101d00

152050944 has 72 divisors (see below), whose sum is σ = 418692960. Its totient is φ = 48928768.

The previous prime is 152050933. The next prime is 152050949. The reversal of 152050944 is 449050251.

152050944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1520509442 = 46238979142582272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152050949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18859 + ... + 25685.

It is an arithmetic number, because the mean of its divisors is an integer number (5815180).

Almost surely, 2152050944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152050944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209346480).

152050944 is an abundant number, since it is smaller than the sum of its proper divisors (266642016).

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

152050944 is an equidigital number, since it uses as much as digits as its factorization.

152050944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6875 (or 6861 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 152050944 is about 12330.8938848731. The cubic root of 152050944 is about 533.7399454766.

The spelling of 152050944 in words is "one hundred fifty-two million, fifty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 696 768 928 1392 1856 2784 3712 5568 6827 7424 11136 13654 20481 22272 27308 40962 54616 81924 109232 163848 197983 218464 327696 395966 436928 593949 655392 791932 873856 1187898 1310784 1583864 1747712 2375796 2621568 3167728 4751592 5243136 6335456 9503184 12670912 19006368 25341824 38012736 50683648 76025472 152050944