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746139044 = 2271721923211
BaseRepresentation
bin101100011110010…
…010110110100100
31220222222210100102
4230132102312210
53012002422134
6202012203232
724330035330
oct5436226644
91828883312
10746139044
113531a3342
12189a69518
13bb7752c1
14711487c0
154578837e
hex2c792da4

746139044 has 144 divisors (see below), whose sum is σ = 1749457920. Its totient is φ = 271434240.

The previous prime is 746139029. The next prime is 746139047. The reversal of 746139044 is 440931647.

746139044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 746138989 and 746139007.

It is not an unprimeable number, because it can be changed into a prime (746139047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3536099 + ... + 3536309.

Almost surely, 2746139044 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 746139044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874728960).

746139044 is an abundant number, since it is smaller than the sum of its proper divisors (1003318876).

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

746139044 is a wasteful number, since it uses less digits than its factorization.

746139044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 746139044 is about 27315.5458301678. The cubic root of 746139044 is about 906.9985417005.

The spelling of 746139044 in words is "seven hundred forty-six million, one hundred thirty-nine thousand, forty-four".

Divisors: 1 2 4 7 14 17 19 23 28 34 38 46 68 76 92 119 133 161 211 238 266 289 322 323 391 422 437 476 532 578 644 646 782 844 874 1156 1292 1477 1564 1748 2023 2261 2737 2954 3059 3587 4009 4046 4522 4853 5474 5491 5908 6118 6647 7174 7429 8018 8092 9044 9706 10948 10982 12236 13294 14348 14858 16036 19412 21964 25109 26588 28063 29716 33971 38437 46529 50218 52003 56126 60979 67942 68153 76874 82501 92207 93058 100436 104006 112252 121958 126293 135884 136306 153748 165002 184414 186116 208012 243916 252586 272612 330004 368828 426853 477071 505172 577507 645449 853706 884051 954142 1155014 1158601 1290898 1402517 1567519 1707412 1768102 1908284 2310028 2317202 2581796 2805034 3135038 3536204 4634404 5610068 6270076 8110207 9817619 10972633 16220414 19635238 21945266 26647823 32440828 39270476 43890532 53295646 106591292 186534761 373069522 746139044