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1601159952 = 243746110337
BaseRepresentation
bin101111101101111…
…1100001100010000
311010120212100112110
41133123330030100
511234344104302
6422514225320
754451430550
oct13733741420
94116770473
101601159952
117518a4197
12388285240
131c6950a32
14112917160
159587cb6c
hex5f6fc310

1601159952 has 80 divisors (see below), whose sum is σ = 4737946752. Its totient is φ = 456437760.

The previous prime is 1601159939. The next prime is 1601160007. The reversal of 1601159952 is 2599511061.

It is a self number, because there is not a number n which added to its sum of digits gives 1601159952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149728 + ... + 160064.

Almost surely, 21601159952 is an apocalyptic number.

1601159952 is a gapful number since it is divisible by the number (12) 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 1601159952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368973376).

1601159952 is an abundant number, since it is smaller than the sum of its proper divisors (3136786800).

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

1601159952 is a wasteful number, since it uses less digits than its factorization.

1601159952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10816 (or 10810 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 39.

The square root of 1601159952 is about 40014.4967730446. The cubic root of 1601159952 is about 1169.8896703619.

The spelling of 1601159952 in words is "one billion, six hundred one million, one hundred fifty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 461 922 1383 1844 2766 3227 3688 5532 6454 7376 9681 10337 11064 12908 19362 20674 22128 25816 31011 38724 41348 51632 62022 72359 77448 82696 124044 144718 154896 165392 217077 248088 289436 434154 496176 578872 868308 1157744 1736616 3473232 4765357 9530714 14296071 19061428 28592142 33357499 38122856 57184284 66714998 76245712 100072497 114368568 133429996 200144994 228737136 266859992 400289988 533719984 800579976 1601159952