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1629423744 = 273131033169
BaseRepresentation
bin110000100011111…
…0000100010000000
311012120001022011120
41201013300202000
511314113024434
6425404112240
755243605354
oct14107604200
94176038146
101629423744
117668491a3
12395835680
131cc768680
14116593464
15980b2349
hex611f0880

1629423744 has 128 divisors (see below), whose sum is σ = 4707830400. Its totient is φ = 496336896.

The previous prime is 1629423739. The next prime is 1629423773. The reversal of 1629423744 is 4473249261.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1629423696 and 1629423705.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512592 + ... + 515760.

It is an arithmetic number, because the mean of its divisors is an integer number (36779925).

Almost surely, 21629423744 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 1629423744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353915200).

1629423744 is an abundant number, since it is smaller than the sum of its proper divisors (3078406656).

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

1629423744 is a wasteful number, since it uses less digits than its factorization.

1629423744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3302 (or 3290 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 1629423744 is about 40366.1212404660. The cubic root of 1629423744 is about 1176.7332185374.

The spelling of 1629423744 in words is "one billion, six hundred twenty-nine million, four hundred twenty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 103 104 128 156 192 206 208 309 312 384 412 416 618 624 824 832 1236 1248 1339 1648 1664 2472 2496 2678 3169 3296 4017 4944 4992 5356 6338 6592 8034 9507 9888 10712 12676 13184 16068 19014 19776 21424 25352 32136 38028 39552 41197 42848 50704 64272 76056 82394 85696 101408 123591 128544 152112 164788 171392 202816 247182 257088 304224 326407 329576 405632 494364 514176 608448 652814 659152 979221 988728 1216896 1305628 1318304 1958442 1977456 2611256 2636608 3916884 3954912 4243291 5222512 5273216 7833768 7909824 8486582 10445024 12729873 15667536 15819648 16973164 20890048 25459746 31335072 33946328 41780096 50919492 62670144 67892656 101838984 125340288 135785312 203677968 271570624 407355936 543141248 814711872 1629423744