Search a number
-
+
16157952 = 28327013
BaseRepresentation
bin111101101000…
…110100000000
31010101220112200
4331220310000
513114023302
61334153200
7254224506
oct75506400
933356480
1016157952
119136788
1254b2800
133469725
142208676
15164281c
hexf68d00

16157952 has 54 divisors (see below), whose sum is σ = 46594002. Its totient is φ = 5385216.

The previous prime is 16157941. The next prime is 16157957. The reversal of 16157952 is 25975161.

It can be written as a sum of positive squares in only one way, i.e., 15492096 + 665856 = 3936^2 + 816^2 .

It is a super-2 number, since 2×161579522 = 522158825668608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16157957) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1203 + ... + 5810.

Almost surely, 216157952 is an apocalyptic number.

16157952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16157952 is an abundant number, since it is smaller than the sum of its proper divisors (30436050).

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

16157952 is an equidigital number, since it uses as much as digits as its factorization.

16157952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7035 (or 7018 counting only the distinct ones).

The product of its digits is 18900, while the sum is 36.

The square root of 16157952 is about 4019.6955108565. The cubic root of 16157952 is about 252.8106922786.

The spelling of 16157952 in words is "sixteen million, one hundred fifty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 7013 14026 21039 28052 42078 56104 63117 84156 112208 126234 168312 224416 252468 336624 448832 504936 673248 897664 1009872 1346496 1795328 2019744 2692992 4039488 5385984 8078976 16157952