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152070048 = 2534134513
BaseRepresentation
bin10010001000001…
…10011110100000
3101121010221220000
421010012132200
5302412220143
623031220000
73524400624
oct1104063640
9347127800
10152070048
1178926529
1242b17600
13256751a0
14162a7184
15d53cbd3
hex91067a0

152070048 has 120 divisors (see below), whose sum is σ = 481743108. Its totient is φ = 46780416.

The previous prime is 152070047. The next prime is 152070067. The reversal of 152070048 is 840070251.

It can be written as a sum of positive squares in 2 ways, for example, as 106750224 + 45319824 = 10332^2 + 6732^2 .

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 (152070041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31440 + ... + 35952.

Almost surely, 2152070048 is an apocalyptic number.

152070048 is a gapful number since it is divisible by the number (18) 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 152070048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240871554).

152070048 is an abundant number, since it is smaller than the sum of its proper divisors (329673060).

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

152070048 is a wasteful number, since it uses less digits than its factorization.

152070048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4548 (or 4531 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 152070048 is about 12331.6685002476. The cubic root of 152070048 is about 533.7622979431.

The spelling of 152070048 in words is "one hundred fifty-two million, seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 4513 5616 8424 9026 11232 13539 16848 18052 27078 33696 36104 40617 54156 58669 72208 81234 108312 117338 121851 144416 162468 176007 216624 234676 243702 324936 352014 365553 433248 469352 487404 528021 649872 704028 731106 938704 974808 1056042 1299744 1408056 1462212 1584063 1877408 1949616 2112084 2816112 2924424 3168126 3899232 4224168 4752189 5632224 5848848 6336252 8448336 9504378 11697696 12672504 16896672 19008756 25345008 38017512 50690016 76035024 152070048