Search a number
-
+
746381272 = 2371343113211
BaseRepresentation
bin101100011111001…
…101111111011000
31221000110002121211
4230133031333120
53012033200042
6202021312504
724332064460
oct5437157730
91830402554
10746381272
1135334932a
12189b65734
13bb82b630
14711acba0
15457d5017
hex2c7cdfd8

746381272 has 128 divisors (see below), whose sum is σ = 1786498560. Its totient is φ = 284497920.

The previous prime is 746381269. The next prime is 746381281. The reversal of 746381272 is 272183647.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3537247 + ... + 3537457.

It is an arithmetic number, because the mean of its divisors is an integer number (13957020).

Almost surely, 2746381272 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 746381272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893249280).

746381272 is an abundant number, since it is smaller than the sum of its proper divisors (1040117288).

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

746381272 is a wasteful number, since it uses less digits than its factorization.

746381272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 389 counting only the distinct ones).

The product of its digits is 112896, while the sum is 40.

The square root of 746381272 is about 27319.9793557755. The cubic root of 746381272 is about 907.0966809925.

The spelling of 746381272 in words is "seven hundred forty-six million, three hundred eighty-one thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 26 28 43 52 56 86 91 104 113 172 182 211 226 301 344 364 422 452 559 602 728 791 844 904 1118 1204 1469 1477 1582 1688 2236 2408 2743 2938 2954 3164 3913 4472 4859 5486 5876 5908 6328 7826 9073 9718 10283 10972 11752 11816 15652 18146 19201 19436 20566 21944 23843 31304 34013 36292 38402 38872 41132 47686 63167 63511 68026 72584 76804 82264 95372 117949 126334 127022 136052 153608 166901 190744 235898 252668 254044 272104 309959 333802 442169 471796 505336 508088 619918 667604 825643 884338 943592 1025249 1239836 1335208 1651286 1768676 2050498 2169713 2479672 3302572 3537352 4100996 4339426 6605144 7176743 8201992 8678852 13328237 14353486 17357704 26656474 28706972 53312948 57413944 93297659 106625896 186595318 373190636 746381272