Search a number
-
+
150152478 = 23719832267
BaseRepresentation
bin10001111001100…
…10010100011110
3101110112112110220
420330302110132
5301414334403
622522142210
73502163220
oct1074622436
9343475426
10150152478
1177836863
1242351966
1325153428
1415d28410
15d2ae953
hex8f3251e

150152478 has 64 divisors (see below), whose sum is σ = 365783040. Its totient is φ = 40135392.

The previous prime is 150152447. The next prime is 150152501. The reversal of 150152478 is 874251051.

150152478 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65101 + ... + 67367.

It is an arithmetic number, because the mean of its divisors is an integer number (5715360).

Almost surely, 2150152478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150152478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182891520).

150152478 is an abundant number, since it is smaller than the sum of its proper divisors (215630562).

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

150152478 is a wasteful number, since it uses less digits than its factorization.

150152478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381.

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 150152478 is about 12253.6720210719. The cubic root of 150152478 is about 531.5092592373.

It can be divided in two parts, 150 and 152478, that added together give a triangular number (152628 = T552).

The spelling of 150152478 in words is "one hundred fifty million, one hundred fifty-two thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 83 114 133 166 249 266 399 498 581 798 1162 1577 1743 2267 3154 3486 4534 4731 6801 9462 11039 13602 15869 22078 31738 33117 43073 47607 66234 86146 95214 129219 188161 258438 301511 376322 564483 603022 904533 1128966 1317127 1809066 2634254 3575059 3951381 7150118 7902762 10725177 21450354 25025413 50050826 75076239 150152478