Search a number
-
+
5164249552 = 2472111931517
BaseRepresentation
bin1001100111101000…
…00011000111010000
3111022220110001120221
410303310003013100
541034021441202
62212235442424
7241655253100
oct46364030720
914286401527
105164249552
1122100a2140
1210015b6414
13643ba9687
1436dc19200
1520359d037
hex133d031d0

5164249552 has 120 divisors (see below), whose sum is σ = 13366153440. Its totient is φ = 1906087680.

The previous prime is 5164249549. The next prime is 5164249577. The reversal of 5164249552 is 2559424615.

It is a junction number, because it is equal to n+sod(n) for n = 5164249499 and 5164249508.

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, 148098 + ... + 179614.

It is an arithmetic number, because the mean of its divisors is an integer number (111384612).

Almost surely, 25164249552 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 5164249552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683076720).

5164249552 is an abundant number, since it is smaller than the sum of its proper divisors (8201903888).

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

5164249552 is a wasteful number, since it uses less digits than its factorization.

5164249552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31569 (or 31556 counting only the distinct ones).

The product of its digits is 432000, while the sum is 43.

The square root of 5164249552 is about 71862.7132245923. The cubic root of 5164249552 is about 1728.4987647033.

The spelling of 5164249552 in words is "five billion, one hundred sixty-four million, two hundred forty-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 49 56 76 77 88 98 112 133 152 154 176 196 209 266 304 308 392 418 532 539 616 784 836 931 1064 1078 1232 1463 1672 1862 2128 2156 2926 3344 3724 4312 5852 7448 8624 10241 11704 14896 20482 23408 31517 40964 63034 81928 126068 163856 220619 252136 346687 441238 504272 598823 693374 882476 1197646 1386748 1544333 1764952 2395292 2426809 2773496 3088666 3529904 4191761 4790584 4853618 5546992 6177332 6587053 8383522 9581168 9707236 12354664 13174106 16767044 16987663 19414472 24709328 26348212 29342327 33534088 33975326 38828944 46109371 52696424 58684654 67068176 67950652 92218742 105392848 117369308 135901304 184437484 234738616 271802608 322765597 368874968 469477232 645531194 737749936 1291062388 2582124776 5164249552