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2532948432 = 24379917607
BaseRepresentation
bin1001011011111001…
…1011100111010000
320112112012010000220
42112332123213100
520141413322212
61055201513040
7116524464210
oct22676334720
96475163026
102532948432
11108a868713
125a8342780
133149c7471
141a058a240
15ec58838c
hex96f9b9d0

2532948432 has 80 divisors (see below), whose sum is σ = 7486758912. Its totient is φ = 722874240.

The previous prime is 2532948427. The next prime is 2532948461. The reversal of 2532948432 is 2348492352.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329173 + ... + 336779.

Almost surely, 22532948432 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 2532948432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3743379456).

2532948432 is an abundant number, since it is smaller than the sum of its proper divisors (4953810480).

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

2532948432 is a wasteful number, since it uses less digits than its factorization.

2532948432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8616 (or 8610 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 2532948432 is about 50328.4058161989. The cubic root of 2532948432 is about 1363.1451918579.

It can be divided in two parts, 253294 and 8432, that added together give a triangular number (261726 = T723).

The spelling of 2532948432 in words is "two billion, five hundred thirty-two million, nine hundred forty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 991 1982 2973 3964 5946 6937 7607 7928 11892 13874 15214 15856 20811 22821 23784 27748 30428 41622 45642 47568 53249 55496 60856 83244 91284 106498 110992 121712 159747 166488 182568 212996 319494 332976 365136 425992 638988 851984 1277976 2555952 7538537 15077074 22615611 30154148 45231222 52769759 60308296 90462444 105539518 120616592 158309277 180924888 211079036 316618554 361849776 422158072 633237108 844316144 1266474216 2532948432