Search a number
-
+
47440217952 = 25321779122653
BaseRepresentation
bin101100001011101010…
…000100011101100000
311112110012010202210100
4230023222010131200
51234124143433302
633443240302400
73266420125221
oct541352043540
9145405122710
1047440217952
11191348479a6
12923b771a00
13462063b8aa
14242079b248
151379caad1c
hexb0ba84760

47440217952 has 144 divisors (see below), whose sum is σ = 144653221440. Its totient is φ = 14694690816.

The previous prime is 47440217947. The next prime is 47440217971. The reversal of 47440217952 is 25971204474.

47440217952 is a `hidden beast` number, since 4 + 74 + 402 + 179 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 47440217898 and 47440217907.

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, 325458 + ... + 448110.

It is an arithmetic number, because the mean of its divisors is an integer number (1004536260).

Almost surely, 247440217952 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 47440217952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72326610720).

47440217952 is an abundant number, since it is smaller than the sum of its proper divisors (97213003488).

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

47440217952 is a wasteful number, since it uses less digits than its factorization.

47440217952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122765 (or 122754 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 47440217952 in words is "forty-seven billion, four hundred forty million, two hundred seventeen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 79 96 102 136 144 153 158 204 237 272 288 306 316 408 474 544 612 632 711 816 948 1224 1264 1343 1422 1632 1896 2448 2528 2686 2844 3792 4029 4896 5372 5688 7584 8058 10744 11376 12087 16116 21488 22752 24174 32232 42976 48348 64464 96696 122653 128928 193392 245306 367959 386784 490612 735918 981224 1103877 1471836 1962448 2085101 2207754 2943672 3924896 4170202 4415508 5887344 6255303 8340404 8831016 9689587 11774688 12510606 16680808 17662032 18765909 19379174 25021212 29068761 33361616 35324064 37531818 38758348 50042424 58137522 66723232 75063636 77516696 87206283 100084848 116275044 150127272 155033392 164722979 174412566 200169696 232550088 300254544 310066784 329445958 348825132 465100176 494168937 600509088 658891916 697650264 930200352 988337874 1317783832 1395300528 1482506811 1976675748 2635567664 2790601056 2965013622 3953351496 5271135328 5930027244 7906702992 11860054488 15813405984 23720108976 47440217952