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49029735420 = 223254719929123
BaseRepresentation
bin101101101010011001…
…100110001111111100
311200112222002121211200
4231222121212033330
51300403103013140
634305101215500
73354000606021
oct555231461774
9150488077750
1049029735420
11198800099a6
129603b61590
134814a44283
142531923548
15141e5d9030
hexb6a6663fc

49029735420 has 144 divisors (see below), whose sum is σ = 152656358400. Its totient is φ = 12731672448.

The previous prime is 49029735413. The next prime is 49029735427. The reversal of 49029735420 is 2453792094.

49029735420 is a `hidden beast` number, since 4 + 9 + 0 + 297 + 354 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49029735413) and next prime (49029735427).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49029735427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1668979 + ... + 1698101.

It is an arithmetic number, because the mean of its divisors is an integer number (1060113600).

Almost surely, 249029735420 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 49029735420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76328179200).

49029735420 is an abundant number, since it is smaller than the sum of its proper divisors (103626622980).

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

49029735420 is a wasteful number, since it uses less digits than its factorization.

49029735420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29384 (or 29379 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 49029735420 in words is "forty-nine billion, twenty-nine million, seven hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 199 235 282 398 423 470 564 597 705 796 846 940 995 1194 1410 1692 1791 1990 2115 2388 2820 2985 3582 3980 4230 5970 7164 8460 8955 9353 11940 17910 18706 28059 29123 35820 37412 46765 56118 58246 84177 87369 93530 112236 116492 140295 145615 168354 174738 187060 262107 280590 291230 336708 349476 420885 436845 524214 561180 582460 841770 873690 1048428 1310535 1368781 1683540 1747380 2621070 2737562 4106343 5242140 5475124 5795477 6843905 8212686 11590954 12319029 13687810 16425372 17386431 20531715 23181908 24638058 27375620 28977385 34772862 41063430 49276116 52159293 57954770 61595145 69545724 82126860 86932155 104318586 115909540 123190290 173864310 208637172 246380580 260796465 272387419 347728620 521592930 544774838 817162257 1043185860 1089549676 1361937095 1634324514 2451486771 2723874190 3268649028 4085811285 4902973542 5447748380 8171622570 9805947084 12257433855 16343245140 24514867710 49029735420