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532140048 = 2432113110837
BaseRepresentation
bin11111101101111…
…101000000010000
31101002022111220200
4133231331000100
52042211440143
6124445335200
716121054466
oct3755750020
91332274820
10532140048
11253419770
1212a267500
138632918b
1450960836
1531ab61d3
hex1fb7d010

532140048 has 120 divisors (see below), whose sum is σ = 1677202176. Its totient is φ = 156038400.

The previous prime is 532140047. The next prime is 532140061. The reversal of 532140048 is 840041235.

It is not an unprimeable number, because it can be changed into a prime (532140041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43686 + ... + 54522.

Almost surely, 2532140048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532140048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838601088).

532140048 is an abundant number, since it is smaller than the sum of its proper divisors (1145062128).

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

532140048 is a wasteful number, since it uses less digits than its factorization.

532140048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10893 (or 10884 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 532140048 is about 23068.1609149928. The cubic root of 532140048 is about 810.3549975708.

It can be divided in two parts, 5321 and 40048, that added together give a square (45369 = 2132).

The spelling of 532140048 in words is "five hundred thirty-two million, one hundred forty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 33 36 44 48 62 66 72 88 93 99 124 132 144 176 186 198 248 264 279 341 372 396 496 528 558 682 744 792 1023 1116 1364 1488 1584 2046 2232 2728 3069 4092 4464 5456 6138 8184 10837 12276 16368 21674 24552 32511 43348 49104 65022 86696 97533 119207 130044 173392 195066 238414 260088 335947 357621 390132 476828 520176 671894 715242 780264 953656 1007841 1072863 1343788 1430484 1560528 1907312 2015682 2145726 2687576 2860968 3023523 3695417 4031364 4291452 5375152 5721936 6047046 7390834 8062728 8582904 11086251 12094092 14781668 16125456 17165808 22172502 24188184 29563336 33258753 44345004 48376368 59126672 66517506 88690008 133035012 177380016 266070024 532140048