Search a number
-
+
4272921024 = 263372632287
BaseRepresentation
bin1111111010101111…
…1001100111000000
3102000210020212201020
43332223321213000
532222331433044
61543555305440
7210613141461
oct37653714700
912023225636
104272921024
1118a2a52899
129b2bab280
1353132ac48
142c76b8d68
151a01d5a19
hexfeaf99c0

4272921024 has 112 divisors (see below), whose sum is σ = 11660233728. Its totient is φ = 1379939328.

The previous prime is 4272921017. The next prime is 4272921041. The reversal of 4272921024 is 4201292724.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1867209 + ... + 1869495.

Almost surely, 24272921024 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 4272921024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5830116864).

4272921024 is an abundant number, since it is smaller than the sum of its proper divisors (7387312704).

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

4272921024 is a wasteful number, since it uses less digits than its factorization.

4272921024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 4272921024 is about 65367.5838929358. The cubic root of 4272921024 is about 1622.7126507462.

The spelling of 4272921024 in words is "four billion, two hundred seventy-two million, nine hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 263 296 444 526 592 789 888 1052 1184 1578 1776 2104 2287 2368 3156 3552 4208 4574 6312 6861 7104 8416 9148 9731 12624 13722 16832 18296 19462 25248 27444 29193 36592 38924 50496 54888 58386 73184 77848 84619 109776 116772 146368 155696 169238 219552 233544 253857 311392 338476 439104 467088 507714 601481 622784 676952 934176 1015428 1202962 1353904 1804443 1868352 2030856 2405924 2707808 3608886 4061712 4811848 5415616 7217772 8123424 9623696 14435544 16246848 19247392 22254797 28871088 38494784 44509594 57742176 66764391 89019188 115484352 133528782 178038376 267057564 356076752 534115128 712153504 1068230256 1424307008 2136460512 4272921024