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150078376 = 23723491097
BaseRepresentation
bin10001111001000…
…00001110101000
3101110101202211101
420330200032220
5301410002001
622520411144
73501434200
oct1074401650
9343352741
10150078376
1177796118
1242316ab4
1325128796
1415d09400
15d297a01
hex8f203a8

150078376 has 48 divisors (see below), whose sum is σ = 328576500. Its totient is φ = 64076544.

The previous prime is 150078371. The next prime is 150078403. The reversal of 150078376 is 673870051.

It can be written as a sum of positive squares in 2 ways, for example, as 150062500 + 15876 = 12250^2 + 126^2 .

It is not an unprimeable number, because it can be changed into a prime (150078371) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 136260 + ... + 137356.

Almost surely, 2150078376 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 150078376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164288250).

150078376 is an abundant number, since it is smaller than the sum of its proper divisors (178498124).

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

150078376 is a wasteful number, since it uses less digits than its factorization.

150078376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 150078376 is about 12250.6479828620. The cubic root of 150078376 is about 531.4218095093.

The spelling of 150078376 in words is "one hundred fifty million, seventy-eight thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 349 392 698 1097 1396 2194 2443 2792 4388 4886 7679 8776 9772 15358 17101 19544 30716 34202 53753 61432 68404 107506 136808 215012 382853 430024 765706 1531412 2679971 3062824 5359942 10719884 18759797 21439768 37519594 75039188 150078376