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4023058432 = 2161723157
BaseRepresentation
bin1110111111001011…
…0000000000000000
3101101101002112200011
43233302300000000
531214400332212
61503112034304
7201460301221
oct35762600000
911341075604
104023058432
111784a03388
12943392994
134c1635c63
142a2437248
151882cc4a7
hexefcb0000

4023058432 has 136 divisors (see below), whose sum is σ = 8946382176. Its totient is φ = 1799356416.

The previous prime is 4023058411. The next prime is 4023058447. The reversal of 4023058432 is 2348503204.

It is a tau number, because it is divible by the number of its divisors (136).

It is a junction number, because it is equal to n+sod(n) for n = 4023058394 and 4023058403.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25624498 + ... + 25624654.

Almost surely, 24023058432 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 4023058432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4473191088).

4023058432 is an abundant number, since it is smaller than the sum of its proper divisors (4923323744).

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

4023058432 is an equidigital number, since it uses as much as digits as its factorization.

4023058432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 4023058432 is about 63427.5841570527. The cubic root of 4023058432 is about 1590.4454577730.

The spelling of 4023058432 in words is "four billion, twenty-three million, fifty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 128 136 157 184 256 272 314 368 391 512 544 628 736 782 1024 1088 1256 1472 1564 2048 2176 2512 2669 2944 3128 3611 4096 4352 5024 5338 5888 6256 7222 8192 8704 10048 10676 11776 12512 14444 16384 17408 20096 21352 23552 25024 28888 32768 34816 40192 42704 47104 50048 57776 61387 65536 69632 80384 85408 94208 100096 115552 122774 139264 160768 170816 188416 200192 231104 245548 278528 321536 341632 376832 400384 462208 491096 557056 643072 683264 753664 800768 924416 982192 1114112 1286144 1366528 1507328 1601536 1848832 1964384 2572288 2733056 3203072 3697664 3928768 5144576 5466112 6406144 7395328 7857536 10289152 10932224 12812288 14790656 15715072 21864448 25624576 29581312 31430144 43728896 59162624 62860288 87457792 118325248 125720576 174915584 236650496 251441152 502882304 1005764608 2011529216 4023058432