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150471464 = 2311131031277
BaseRepresentation
bin10001111100000…
…00001100101000
3101111010202001012
420332000030220
5302010041324
622533043052
73504662213
oct1076001450
9344122035
10150471464
1177a34490
1242486488
1325235690
1415dac77a
15d32420e
hex8f80328

150471464 has 64 divisors (see below), whose sum is σ = 334938240. Its totient is φ = 62472960.

The previous prime is 150471463. The next prime is 150471467. The reversal of 150471464 is 464174051.

It is a super-2 number, since 2×1504714642 = 45283322956606592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 150471464.

It is not an unprimeable number, because it can be changed into a prime (150471463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117194 + ... + 118470.

It is an arithmetic number, because the mean of its divisors is an integer number (5233410).

Almost surely, 2150471464 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 150471464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167469120).

150471464 is an abundant number, since it is smaller than the sum of its proper divisors (184466776).

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

150471464 is a wasteful number, since it uses less digits than its factorization.

150471464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 150471464 is about 12266.6810507162. The cubic root of 150471464 is about 531.8853748938.

The spelling of 150471464 in words is "one hundred fifty million, four hundred seventy-one thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 103 104 143 206 286 412 572 824 1133 1144 1277 1339 2266 2554 2678 4532 5108 5356 9064 10216 10712 14047 14729 16601 28094 29458 33202 56188 58916 66404 112376 117832 131531 132808 182611 263062 365222 526124 730444 1052248 1446841 1460888 1709903 2893682 3419806 5787364 6839612 11574728 13679224 18808933 37617866 75235732 150471464