Search a number
-
+
151978864 = 24311312339
BaseRepresentation
bin10010000111100…
…00001101110000
3101120222022210211
421003300031300
5302401310424
623025233504
73523541032
oct1103601560
9346868724
10151978864
1178873a74
1242a92894
132564282b
1416281c52
15d520b94
hex90f0370

151978864 has 40 divisors (see below), whose sum is σ = 306408960. Its totient is φ = 72945600.

The previous prime is 151978831. The next prime is 151978873. The reversal of 151978864 is 468879151.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 63807 + ... + 66145.

It is an arithmetic number, because the mean of its divisors is an integer number (7660224).

Almost surely, 2151978864 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 151978864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153204480).

151978864 is an abundant number, since it is smaller than the sum of its proper divisors (154430096).

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

151978864 is a wasteful number, since it uses less digits than its factorization.

151978864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2503 counting only the distinct ones).

The product of its digits is 483840, while the sum is 49.

The square root of 151978864 is about 12327.9707981484. The cubic root of 151978864 is about 533.6555920463.

The spelling of 151978864 in words is "one hundred fifty-one million, nine hundred seventy-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 31 62 124 131 248 262 496 524 1048 2096 2339 4061 4678 8122 9356 16244 18712 32488 37424 64976 72509 145018 290036 306409 580072 612818 1160144 1225636 2451272 4902544 9498679 18997358 37994716 75989432 151978864