Search a number
-
+
49680414 = 23272233179
BaseRepresentation
bin1011110110000…
…1000000011110
310110111000201100
42331201000132
5100204233124
64532453530
71142163600
oct275410036
9113430640
1049680414
11260526a3
121477a2a6
13a3a5ac4
146853170
1545651c9
hex2f6101e

49680414 has 144 divisors (see below), whose sum is σ = 136581120. Its totient is φ = 12972960.

The previous prime is 49680403. The next prime is 49680427. The reversal of 49680414 is 41408694.

It is a happy number.

It is a super-2 number, since 2×496804142 = 4936287070422792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 628827 + ... + 628905.

It is an arithmetic number, because the mean of its divisors is an integer number (948480).

Almost surely, 249680414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49680414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68290560).

49680414 is an abundant number, since it is smaller than the sum of its proper divisors (86900706).

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

49680414 is a wasteful number, since it uses less digits than its factorization.

49680414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 49680414 is about 7048.4334429716. The cubic root of 49680414 is about 367.6165616651.

The spelling of 49680414 in words is "forty-nine million, six hundred eighty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 31 42 46 49 62 63 69 79 93 98 126 138 147 158 161 186 207 217 237 279 294 322 414 434 441 474 483 553 558 651 711 713 882 966 1106 1127 1302 1422 1426 1449 1519 1659 1817 1953 2139 2254 2449 2898 3038 3318 3381 3634 3871 3906 4278 4557 4898 4977 4991 5451 6417 6762 7347 7742 9114 9954 9982 10143 10902 11613 12719 12834 13671 14694 14973 16353 17143 20286 22041 23226 25438 27342 29946 32706 34286 34839 34937 38157 44082 44919 51429 56327 69678 69874 76314 89033 89838 102858 104811 112654 114471 120001 154287 168981 178066 209622 228942 240002 267099 308574 314433 337962 360003 394289 506943 534198 628866 720006 788578 801297 1013886 1080009 1182867 1602594 2160018 2365734 2760023 3548601 5520046 7097202 8280069 16560138 24840207 49680414