Search a number
-
+
7890153312 = 253238940151
BaseRepresentation
bin1110101100100101…
…00010111101100000
3202100212201022120110
413112102202331200
5112124334401222
63342533211320
7366345124266
oct72622427540
922325638513
107890153312
113389870a68
121642490b40
13989862792
1454bc72436
15312a4d30c
hex1d64a2f60

7890153312 has 96 divisors (see below), whose sum is σ = 21855536640. Its totient is φ = 2487372800.

The previous prime is 7890153311. The next prime is 7890153331. The reversal of 7890153312 is 2133510987.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7890153311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176437 + ... + 216587.

It is an arithmetic number, because the mean of its divisors is an integer number (227661840).

Almost surely, 27890153312 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 7890153312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10927768320).

7890153312 is an abundant number, since it is smaller than the sum of its proper divisors (13965383328).

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

7890153312 is a wasteful number, since it uses less digits than its factorization.

7890153312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40276 (or 40268 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 7890153312 is about 88826.5349543705. The cubic root of 7890153312 is about 1990.8038899214.

The spelling of 7890153312 in words is "seven billion, eight hundred ninety million, one hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 89 92 96 138 178 184 267 276 356 368 534 552 712 736 1068 1104 1424 2047 2136 2208 2848 4094 4272 6141 8188 8544 12282 16376 24564 32752 40151 49128 65504 80302 98256 120453 160604 196512 240906 321208 481812 642416 923473 963624 1284832 1846946 1927248 2770419 3573439 3693892 3854496 5540838 7146878 7387784 10720317 11081676 14293756 14775568 21440634 22163352 28587512 29551136 42881268 44326704 57175024 82189097 85762536 88653408 114350048 164378194 171525072 246567291 328756388 343050144 493134582 657512776 986269164 1315025552 1972538328 2630051104 3945076656 7890153312