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150642336 = 25313196353
BaseRepresentation
bin10001111101010…
…01111010100000
3101111110102102210
420332221322200
5302031023321
622540442120
73506303325
oct1076517240
9344412383
10150642336
11780408a9
1242549340
13252953a0
1416014b4c
15d359b76
hex8fa9ea0

150642336 has 96 divisors (see below), whose sum is σ = 448338240. Its totient is φ = 43905024.

The previous prime is 150642329. The next prime is 150642343. The reversal of 150642336 is 633246051.

150642336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (150642329) and next prime (150642343).

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

It is a super-2 number, since 2×1506423362 = 45386226791073792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20536 + ... + 26888.

It is an arithmetic number, because the mean of its divisors is an integer number (4670190).

Almost surely, 2150642336 is an apocalyptic number.

150642336 is a gapful number since it is divisible by the number (16) 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 150642336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224169120).

150642336 is an abundant number, since it is smaller than the sum of its proper divisors (297695904).

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

150642336 is a wasteful number, since it uses less digits than its factorization.

150642336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6398 (or 6390 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 150642336 is about 12273.6439576843. The cubic root of 150642336 is about 532.0866310766.

Adding to 150642336 its reverse (633246051), we get a palindrome (783888387).

The spelling of 150642336 in words is "one hundred fifty million, six hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1824 1976 2964 3952 5928 6353 7904 11856 12706 19059 23712 25412 38118 50824 76236 82589 101648 120707 152472 165178 203296 241414 247767 304944 330356 362121 482828 495534 609888 660712 724242 965656 991068 1321424 1448484 1569191 1931312 1982136 2642848 2896968 3138382 3862624 3964272 4707573 5793936 6276764 7928544 9415146 11587872 12553528 18830292 25107056 37660584 50214112 75321168 150642336