Search a number
-
+
29944656 = 2432761487
BaseRepresentation
bin111001000111…
…0101101010000
32002100100100100
41302032231100
530131212111
62545452400
7512345130
oct162165520
962310310
1029944656
11159a2955
12a041100
136285a41
143d96ac0
152967756
hex1c8eb50

29944656 has 120 divisors (see below), whose sum is σ = 97545344. Its totient is φ = 8398080.

The previous prime is 29944619. The next prime is 29944693. The reversal of 29944656 is 65644992.

It is an interprime number because it is at equal distance from previous prime (29944619) and next prime (29944693).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61245 + ... + 61731.

Almost surely, 229944656 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 29944656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48772672).

29944656 is an abundant number, since it is smaller than the sum of its proper divisors (67600688).

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

29944656 is a wasteful number, since it uses less digits than its factorization.

29944656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 560 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 29944656 is about 5472.1710499581. The cubic root of 29944656 is about 310.5320588928.

The spelling of 29944656 in words is "twenty-nine million, nine hundred forty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 61 63 72 84 112 122 126 144 168 183 244 252 336 366 427 487 488 504 549 732 854 974 976 1008 1098 1281 1461 1464 1708 1948 2196 2562 2922 2928 3409 3416 3843 3896 4383 4392 5124 5844 6818 6832 7686 7792 8766 8784 10227 10248 11688 13636 15372 17532 20454 20496 23376 27272 29707 30681 30744 35064 40908 54544 59414 61362 61488 70128 81816 89121 118828 122724 163632 178242 207949 237656 245448 267363 356484 415898 475312 490896 534726 623847 712968 831796 1069452 1247694 1425936 1663592 1871541 2138904 2495388 3327184 3743082 4277808 4990776 7486164 9981552 14972328 29944656