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83425232 = 24112337557
BaseRepresentation
bin1001111100011…
…11011111010000
312210222102220102
410332033133100
5132324101412
612140031532
72032050152
oct476173720
9183872812
1083425232
1143100680
1223b325a8
131438c457
14b118ad2
1574cd8c2
hex4f8f7d0

83425232 has 80 divisors (see below), whose sum is σ = 189309312. Its totient is φ = 35228160.

The previous prime is 83425211. The next prime is 83425241. The reversal of 83425232 is 23252438.

It is a junction number, because it is equal to n+sod(n) for n = 83425195 and 83425204.

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, 149498 + ... + 150054.

Almost surely, 283425232 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 83425232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94654656).

83425232 is an abundant number, since it is smaller than the sum of its proper divisors (105884080).

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

83425232 is a wasteful number, since it uses less digits than its factorization.

83425232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 630 counting only the distinct ones).

The product of its digits is 11520, while the sum is 29.

The square root of 83425232 is about 9133.7414020762. The cubic root of 83425232 is about 436.9507351425.

The spelling of 83425232 in words is "eighty-three million, four hundred twenty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 23 37 44 46 74 88 92 148 176 184 253 296 368 407 506 557 592 814 851 1012 1114 1628 1702 2024 2228 3256 3404 4048 4456 6127 6512 6808 8912 9361 12254 12811 13616 18722 20609 24508 25622 37444 41218 49016 51244 74888 82436 98032 102488 140921 149776 164872 204976 226699 281842 329744 453398 474007 563684 906796 948014 1127368 1813592 1896028 2254736 3627184 3792056 5214077 7584112 10428154 20856308 41712616 83425232