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1161552252 = 223725093881
BaseRepresentation
bin100010100111011…
…1110000101111100
32222221122222010210
41011032332011330
54334324133002
6311132032420
740533013500
oct10516760574
92887588123
101161552252
11546736443
12285002710
13156852333
14b03a2300
156be9396c
hex453be17c

1161552252 has 72 divisors (see below), whose sum is σ = 3159792720. Its totient is φ = 331134720.

The previous prime is 1161552209. The next prime is 1161552253. The reversal of 1161552252 is 2522551611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1161552253) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 297352 + ... + 301232.

It is an arithmetic number, because the mean of its divisors is an integer number (43886010).

Almost surely, 21161552252 is an apocalyptic number.

1161552252 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 1161552252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579896360).

1161552252 is an abundant number, since it is smaller than the sum of its proper divisors (1998240468).

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

1161552252 is a wasteful number, since it uses less digits than its factorization.

1161552252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4411 (or 4402 counting only the distinct ones).

The product of its digits is 6000, while the sum is 30.

The square root of 1161552252 is about 34081.5529575752. The cubic root of 1161552252 is about 1051.1860375732.

The spelling of 1161552252 in words is "one billion, one hundred sixty-one million, five hundred fifty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 509 588 1018 1527 2036 3054 3563 3881 6108 7126 7762 10689 11643 14252 15524 21378 23286 24941 27167 42756 46572 49882 54334 74823 81501 99764 108668 149646 163002 190169 299292 326004 380338 570507 760676 1141014 1975429 2282028 3950858 5926287 7901716 11852574 13828003 23705148 27656006 41484009 55312012 82968018 96796021 165936036 193592042 290388063 387184084 580776126 1161552252