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427732992 = 2123241283
BaseRepresentation
bin11001011111101…
…011000000000000
31002210212002100200
4121133223000000
51333444423432
6110235445200
713412445651
oct3137530000
91083762320
10427732992
111aa498145
12bb2b6800
136a80175b
1440b43528
1527840a7c
hex197eb000

427732992 has 156 divisors (see below), whose sum is σ = 1270129224. Its totient is φ = 138608640.

The previous prime is 427732889. The next prime is 427732999. The reversal of 427732992 is 299237724.

It is not an unprimeable number, because it can be changed into a prime (427732999) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1511283 + ... + 1511565.

It is an arithmetic number, because the mean of its divisors is an integer number (8141854).

Almost surely, 2427732992 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 427732992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635064612).

427732992 is an abundant number, since it is smaller than the sum of its proper divisors (842396232).

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

427732992 is a wasteful number, since it uses less digits than its factorization.

427732992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 329 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 427732992 is about 20681.7066993998. The cubic root of 427732992 is about 753.4554579640.

The spelling of 427732992 in words is "four hundred twenty-seven million, seven hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 283 288 328 369 384 492 512 566 576 656 738 768 849 984 1024 1132 1152 1312 1476 1536 1698 1968 2048 2264 2304 2547 2624 2952 3072 3396 3936 4096 4528 4608 5094 5248 5904 6144 6792 7872 9056 9216 10188 10496 11603 11808 12288 13584 15744 18112 18432 20376 20992 23206 23616 27168 31488 34809 36224 36864 40752 41984 46412 47232 54336 62976 69618 72448 81504 83968 92824 94464 104427 108672 125952 139236 144896 163008 167936 185648 188928 208854 217344 251904 278472 289792 326016 371296 377856 417708 434688 503808 556944 579584 652032 742592 755712 835416 869376 1113888 1159168 1304064 1485184 1511424 1670832 1738752 2227776 2608128 2970368 3341664 3477504 4455552 5216256 5940736 6683328 8911104 10432512 11881472 13366656 17822208 23762944 26733312 35644416 47525888 53466624 71288832 106933248 142577664 213866496 427732992