Search a number
-
+
157052250 = 2335353439
BaseRepresentation
bin10010101110001…
…10110101011010
3101221112002012000
421113012311122
5310201133000
623330101430
73614631165
oct1127066532
9357462160
10157052250
1180719753
124471a876
13266cab34
1416c02adc
15dbc4000
hex95c6d5a

157052250 has 128 divisors (see below), whose sum is σ = 444787200. Its totient is φ = 40996800.

The previous prime is 157052249. The next prime is 157052251. The reversal of 157052250 is 52250751.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (157052249) and next prime (157052251).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (157052251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 357531 + ... + 357969.

It is an arithmetic number, because the mean of its divisors is an integer number (3474900).

Almost surely, 2157052250 is an apocalyptic number.

157052250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157052250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222393600).

157052250 is an abundant number, since it is smaller than the sum of its proper divisors (287734950).

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

157052250 is a wasteful number, since it uses less digits than its factorization.

157052250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 157052250 is about 12532.0489146827. The cubic root of 157052250 is about 539.5289101337.

It can be divided in two parts, 15705 and 2250, that added together give a triangular number (17955 = T189).

The spelling of 157052250 in words is "one hundred fifty-seven million, fifty-two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 53 54 75 90 106 125 135 150 159 225 250 265 270 318 375 439 450 477 530 675 750 795 878 954 1125 1317 1325 1350 1431 1590 2195 2250 2385 2634 2650 2862 3375 3951 3975 4390 4770 6585 6625 6750 7155 7902 7950 10975 11853 11925 13170 13250 14310 19755 19875 21950 23267 23706 23850 32925 35775 39510 39750 46534 54875 59265 59625 65850 69801 71550 98775 109750 116335 118530 119250 139602 164625 178875 197550 209403 232670 296325 329250 349005 357750 418806 493875 581675 592650 628209 698010 987750 1047015 1163350 1256418 1481625 1745025 2094030 2908375 2963250 3141045 3490050 5235075 5816750 6282090 8725125 10470150 15705225 17450250 26175375 31410450 52350750 78526125 157052250