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152509390 = 251119431697
BaseRepresentation
bin10010001011100…
…01101111001110
3101121222021112221
421011301233032
5303020300030
623044445554
73531210535
oct1105615716
9347867487
10152509390
11790a6620
12430a98ba
132579a157
141637d31c
15d5c7e7a
hex9171bce

152509390 has 64 divisors (see below), whose sum is σ = 322755840. Its totient is φ = 51287040.

The previous prime is 152509387. The next prime is 152509391. The reversal of 152509390 is 93905251.

It is a happy number.

It is a super-2 number, since 2×1525093902 = 46518228076344200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152509391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89022 + ... + 90718.

It is an arithmetic number, because the mean of its divisors is an integer number (5043060).

Almost surely, 2152509390 is an apocalyptic number.

152509390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152509390 is an abundant number, since it is smaller than the sum of its proper divisors (170246450).

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

152509390 is a wasteful number, since it uses less digits than its factorization.

152509390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777.

The product of its (nonzero) digits is 12150, while the sum is 34.

The square root of 152509390 is about 12349.4692193632. The cubic root of 152509390 is about 534.2758304168.

The spelling of 152509390 in words is "one hundred fifty-two million, five hundred nine thousand, three hundred ninety".

Divisors: 1 2 5 10 11 19 22 38 43 55 86 95 110 190 209 215 418 430 473 817 946 1045 1634 1697 2090 2365 3394 4085 4730 8170 8485 8987 16970 17974 18667 32243 37334 44935 64486 72971 89870 93335 145942 161215 186670 322430 354673 364855 709346 729710 802681 1386449 1605362 1773365 2772898 3546730 4013405 6932245 8026810 13864490 15250939 30501878 76254695 152509390