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49652680 = 235741147
BaseRepresentation
bin1011110101101…
…0001111001000
310110102121200011
42331122033020
5100202341210
64532121304
71142020000
oct275321710
9113377604
1049652680
1126033880
1214766234
13a3962ac
146847000
15455bd8a
hex2f5a3c8

49652680 has 160 divisors (see below), whose sum is σ = 145203840. Its totient is φ = 15146880.

The previous prime is 49652677. The next prime is 49652683. The reversal of 49652680 is 8625694.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (49652677) and next prime (49652683).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (49652683) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1056417 + ... + 1056463.

It is an arithmetic number, because the mean of its divisors is an integer number (907524).

Almost surely, 249652680 is an apocalyptic number.

49652680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49652680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72601920).

49652680 is an abundant number, since it is smaller than the sum of its proper divisors (95551160).

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

49652680 is a wasteful number, since it uses less digits than its factorization.

49652680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 49652680 is about 7046.4657808010. The cubic root of 49652680 is about 367.5481418414.

The spelling of 49652680 in words is "forty-nine million, six hundred fifty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 47 49 55 56 70 77 88 94 98 110 140 154 188 196 220 235 245 280 308 329 343 376 385 392 440 470 490 517 539 616 658 686 770 940 980 1034 1078 1316 1372 1540 1645 1715 1880 1960 2068 2156 2303 2401 2585 2632 2695 2744 3080 3290 3430 3619 3773 4136 4312 4606 4802 5170 5390 6580 6860 7238 7546 9212 9604 10340 10780 11515 12005 13160 13720 14476 15092 16121 18095 18424 18865 19208 20680 21560 23030 24010 25333 26411 28952 30184 32242 36190 37730 46060 48020 50666 52822 64484 72380 75460 80605 92120 96040 101332 105644 112847 126665 128968 132055 144760 150920 161210 177331 202664 211288 225694 253330 264110 322420 354662 451388 506660 528220 564235 644840 709324 886655 902776 1013320 1056440 1128470 1241317 1418648 1773310 2256940 2482634 3546620 4513880 4965268 6206585 7093240 9930536 12413170 24826340 49652680