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2001392352 = 253247199743
BaseRepresentation
bin111011101001010…
…1101001011100000
312011110222021011200
41313102231023200
513044324023402
6530332441200
7100411361061
oct16722551340
95143867150
102001392352
11937808773
1247a319200
1325b84403b
1414db3c568
15baa8a21c
hex774ad2e0

2001392352 has 144 divisors (see below), whose sum is σ = 5849625600. Its totient is φ = 648781056.

The previous prime is 2001392347. The next prime is 2001392353. The reversal of 2001392352 is 2532931002.

2001392352 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001392353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2693293 + ... + 2694035.

It is an arithmetic number, because the mean of its divisors is an integer number (40622400).

Almost surely, 22001392352 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 2001392352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924812800).

2001392352 is an abundant number, since it is smaller than the sum of its proper divisors (3848233248).

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

2001392352 is a wasteful number, since it uses less digits than its factorization.

2001392352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2001392352 is about 44736.9238102040. The cubic root of 2001392352 is about 1260.2133576718.

The spelling of 2001392352 in words is "two billion, one million, three hundred ninety-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 199 282 288 376 398 423 564 597 743 752 796 846 1128 1194 1486 1504 1592 1692 1791 2229 2256 2388 2972 3184 3384 3582 4458 4512 4776 5944 6368 6687 6768 7164 8916 9353 9552 11888 13374 13536 14328 17832 18706 19104 23776 26748 28059 28656 34921 35664 37412 53496 56118 57312 69842 71328 74824 84177 104763 106992 112236 139684 147857 149648 168354 209526 213984 224472 279368 295714 299296 314289 336708 419052 443571 448944 558736 591428 628578 673416 838104 887142 897888 1117472 1182856 1257156 1330713 1346832 1676208 1774284 2365712 2514312 2661426 2693664 3352416 3548568 4731424 5028624 5322852 6949279 7097136 10057248 10645704 13898558 14194272 20847837 21291408 27797116 41695674 42582816 55594232 62543511 83391348 111188464 125087022 166782696 222376928 250174044 333565392 500348088 667130784 1000696176 2001392352