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151461856 = 2571324001
BaseRepresentation
bin10010000011100…
…01111111100000
3101120000001121101
421001301333200
5302233234411
623010204144
73516255520
oct1101617740
9346001541
10151461856
1178550597
1242883654
13254c1400
1416189680
15d46c8c1
hex9071fe0

151461856 has 72 divisors (see below), whose sum is σ = 369112464. Its totient is φ = 59904000.

The previous prime is 151461853. The next prime is 151461859. The reversal of 151461856 is 658164151.

It is an interprime number because it is at equal distance from previous prime (151461853) and next prime (151461859).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151461853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35856 + ... + 39856.

It is an arithmetic number, because the mean of its divisors is an integer number (5126562).

Almost surely, 2151461856 is an apocalyptic number.

151461856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151461856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184556232).

151461856 is an abundant number, since it is smaller than the sum of its proper divisors (217650608).

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

151461856 is a wasteful number, since it uses less digits than its factorization.

151461856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044 (or 4023 counting only the distinct ones).

The product of its digits is 28800, while the sum is 37.

The square root of 151461856 is about 12306.9840334665. The cubic root of 151461856 is about 533.0497673141.

The spelling of 151461856 in words is "one hundred fifty-one million, four hundred sixty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 169 182 208 224 338 364 416 676 728 1183 1352 1456 2366 2704 2912 4001 4732 5408 8002 9464 16004 18928 28007 32008 37856 52013 56014 64016 104026 112028 128032 208052 224056 364091 416104 448112 676169 728182 832208 896224 1352338 1456364 1664416 2704676 2912728 4733183 5409352 5825456 9466366 10818704 11650912 18932732 21637408 37865464 75730928 151461856