Search a number
-
+
534155664 = 243721911953
BaseRepresentation
bin11111110101101…
…001000110010000
31101020002220211010
4133311221012100
52043220440124
6125000450520
716144151100
oct3765510620
91336086733
10534155664
11254576069
1212aa79a40
1386883753
1450d27200
1531d63529
hex1fd69190

534155664 has 120 divisors (see below), whose sum is σ = 1689817440. Its totient is φ = 144571392.

The previous prime is 534155653. The next prime is 534155681. The reversal of 534155664 is 466551435.

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, 38712 + ... + 50664.

It is an arithmetic number, because the mean of its divisors is an integer number (14081812).

Almost surely, 2534155664 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 534155664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844908720).

534155664 is an abundant number, since it is smaller than the sum of its proper divisors (1155661776).

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

534155664 is a wasteful number, since it uses less digits than its factorization.

534155664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11997 (or 11984 counting only the distinct ones).

The product of its digits is 216000, while the sum is 39.

The square root of 534155664 is about 23111.8078912057. The cubic root of 534155664 is about 811.3768504786.

The spelling of 534155664 in words is "five hundred thirty-four million, one hundred fifty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 49 56 57 76 84 98 112 114 133 147 152 168 196 228 266 294 304 336 392 399 456 532 588 784 798 912 931 1064 1176 1596 1862 2128 2352 2793 3192 3724 5586 6384 7448 11172 11953 14896 22344 23906 35859 44688 47812 71718 83671 95624 143436 167342 191248 227107 251013 286872 334684 454214 502026 573744 585697 669368 681321 908428 1004052 1171394 1338736 1362642 1589749 1757091 1816856 2008104 2342788 2725284 3179498 3514182 3633712 4016208 4685576 4769247 5450568 6358996 7028364 9371152 9538494 10901136 11128243 12717992 14056728 19076988 22256486 25435984 28113456 33384729 38153976 44512972 66769458 76307952 89025944 133538916 178051888 267077832 534155664