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148877001 = 3371325979
BaseRepresentation
bin10001101111110…
…10111011001001
3101101010201212000
420313322323021
5301103031001
622434541213
73455301510
oct1067727311
9341121760
10148877001
1177045549
1241a37809
1324ac7a00
1415ab5677
15d10ba86
hex8dfaec9

148877001 has 96 divisors (see below), whose sum is σ = 281088000. Its totient is φ = 76220352.

The previous prime is 148876997. The next prime is 148877009. The reversal of 148877001 is 100778841.

It is a Cunningham number, because it is equal to 5303+1.

It is not a de Polignac number, because 148877001 - 22 = 148876997 is a prime.

It is a super-2 number, since 2×1488770012 = 44328722853508002, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148877009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1884480 + ... + 1884558.

It is an arithmetic number, because the mean of its divisors is an integer number (2928000).

Almost surely, 2148877001 is an apocalyptic number.

It is an amenable number.

148877001 is a deficient number, since it is larger than the sum of its proper divisors (132210999).

148877001 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (148877000) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (180).

148877001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 148877001 is about 12201.5163401931. The cubic root of 148877001 is about 530.0000011867. Note that the first 5 decimals are identical.

The spelling of 148877001 in words is "one hundred forty-eight million, eight hundred seventy-seven thousand, one".

Divisors: 1 3 7 9 13 21 27 39 59 63 79 91 117 169 177 189 237 273 351 413 507 531 553 711 767 819 1027 1183 1239 1521 1593 1659 2133 2301 2457 3081 3549 3717 4563 4661 4977 5369 6903 7189 9243 9971 10647 11151 13351 13983 14931 16107 20709 21567 27729 29913 31941 32627 40053 41949 48321 60593 64701 69797 89739 93457 97881 120159 125847 144963 181779 194103 209391 269217 280371 293643 360477 424151 545337 628173 787709 841113 880929 1272453 1636011 1884519 2363127 2523339 3817359 5513963 7089381 11452077 16541889 21268143 49625667 148877001