Search a number
-
+
2042593632 = 253319124427
BaseRepresentation
bin111100110111111…
…1000000101100000
312021100111111201000
41321233320011200
513140400444012
6534403512000
7101421521322
oct17157700540
95240444630
102042593632
11958a99912
12490088600
1326723b5b1
141553c5612
15be4c7ddc
hex79bf8160

2042593632 has 96 divisors (see below), whose sum is σ = 6271171200. Its totient is φ = 645024384.

The previous prime is 2042593603. The next prime is 2042593643. The reversal of 2042593632 is 2363952402.

It is a happy number.

2042593632 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 593 + 63 + 2 = 666.

2042593632 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 45798 + ... + 78629.

It is an arithmetic number, because the mean of its divisors is an integer number (65324700).

Almost surely, 22042593632 is an apocalyptic number.

It is an amenable number.

2042593632 is an abundant number, since it is smaller than the sum of its proper divisors (4228577568).

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

2042593632 is a wasteful number, since it uses less digits than its factorization.

2042593632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124465 (or 124451 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2042593632 is about 45195.0620311556. The cubic root of 2042593632 is about 1268.8023992466.

The spelling of 2042593632 in words is "two billion, forty-two million, five hundred ninety-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 16416 124427 248854 373281 497708 746562 995416 1119843 1493124 1990832 2239686 2364113 2986248 3359529 3981664 4479372 4728226 5972496 6719058 7092339 8958744 9456452 11944992 13438116 14184678 17917488 18912904 21277017 26876232 28369356 35834976 37825808 42554034 53752464 56738712 63831051 75651616 85108068 107504928 113477424 127662102 170216136 226954848 255324204 340432272 510648408 680864544 1021296816 2042593632