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151048332 = 223217246811
BaseRepresentation
bin10010000000011…
…01000010001100
3101112020001100200
421000031002030
5302132021312
622553253500
73512614101
oct1100150214
9345201320
10151048332
1178298936
1242704290
13253a8116
14160bcaa8
15d3da0dc
hex900d08c

151048332 has 36 divisors (see below), whose sum is σ = 404278056. Its totient is φ = 47387520.

The previous prime is 151048321. The next prime is 151048333. The reversal of 151048332 is 233840151.

It is a happy number.

151048332 is a `hidden beast` number, since 151 + 0 + 483 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 151048296 and 151048305.

It is not an unprimeable number, because it can be changed into a prime (151048333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122794 + ... + 124017.

It is an arithmetic number, because the mean of its divisors is an integer number (11229946).

Almost surely, 2151048332 is an apocalyptic number.

151048332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

151048332 is an abundant number, since it is smaller than the sum of its proper divisors (253229724).

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

151048332 is a wasteful number, since it uses less digits than its factorization.

151048332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246838 (or 246833 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 151048332 is about 12290.1721712920. The cubic root of 151048332 is about 532.5642109965.

Adding to 151048332 its reverse (233840151), we get a palindrome (384888483).

It can be divided in two parts, 15104 and 8332, that added together give a triangular number (23436 = T216).

The spelling of 151048332 in words is "one hundred fifty-one million, forty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 246811 493622 740433 987244 1480866 2221299 2961732 4195787 4442598 8391574 8885196 12587361 16783148 25174722 37762083 50349444 75524166 151048332