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156250016 = 2513419161
BaseRepresentation
bin10010101000000…
…10111110100000
3101220000022201122
421110002332200
5310000000031
623300551412
73605050256
oct1124027640
9356008648
10156250016
1180220a4a
12443b2568
13264a9940
1416a745d6
15dab647b
hex9502fa0

156250016 has 48 divisors (see below), whose sum is σ = 339397128. Its totient is φ = 70348800.

The previous prime is 156249983. The next prime is 156250027. The reversal of 156250016 is 610052651.

It can be written as a sum of positive squares in 4 ways, for example, as 52128400 + 104121616 = 7220^2 + 10204^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 12476 + ... + 21636.

Almost surely, 2156250016 is an apocalyptic number.

156250016 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 156250016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169698564).

156250016 is an abundant number, since it is smaller than the sum of its proper divisors (183147112).

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

156250016 is a wasteful number, since it uses less digits than its factorization.

156250016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9225 (or 9217 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 156250016 is about 12500.0006400000. Note that the first 3 decimals coincide. The cubic root of 156250016 is about 538.6086908925.

It can be divided in two parts, 1562500 and 16, that multiplied together give a square (25000000 = 50002).

The spelling of 156250016 in words is "one hundred fifty-six million, two hundred fifty thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 328 416 533 656 1066 1312 2132 4264 8528 9161 17056 18322 36644 73288 119093 146576 238186 293152 375601 476372 751202 952744 1502404 1905488 3004808 3810976 4882813 6009616 9765626 12019232 19531252 39062504 78125008 156250016