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49612420 = 225112131983
BaseRepresentation
bin1011110101000…
…0011010000100
310110100120110001
42331100122010
5100200044140
64531211044
71141461424
oct275203204
9113316401
1049612420
1126006600
1214746a84
13a380b80
146836484
15454ee9a
hex2f50684

49612420 has 144 divisors (see below), whose sum is σ = 131382720. Its totient is φ = 15586560.

The previous prime is 49612393. The next prime is 49612463. The reversal of 49612420 is 2421694.

It is a super-2 number, since 2×496124202 = 4922784436512800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 597699 + ... + 597781.

It is an arithmetic number, because the mean of its divisors is an integer number (912380).

Almost surely, 249612420 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 49612420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65691360).

49612420 is an abundant number, since it is smaller than the sum of its proper divisors (81770300).

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

49612420 is a wasteful number, since it uses less digits than its factorization.

49612420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 49612420 is about 7043.6084502192. The cubic root of 49612420 is about 367.4487750034.

It can be divided in two parts, 4961 and 2420, that added together give a triangular number (7381 = T121).

The spelling of 49612420 in words is "forty-nine million, six hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 19 20 22 26 38 44 52 55 65 76 83 95 110 121 130 143 166 190 209 220 242 247 260 286 332 380 415 418 484 494 572 605 715 830 836 913 988 1045 1079 1210 1235 1430 1573 1577 1660 1826 2090 2158 2299 2420 2470 2717 2860 3146 3154 3652 4180 4316 4565 4598 4940 5395 5434 6292 6308 7865 7885 9130 9196 10043 10790 10868 11495 11869 13585 15730 15770 17347 18260 20086 20501 21580 22990 23738 27170 29887 31460 31540 34694 40172 41002 45980 47476 50215 54340 59345 59774 69388 82004 86735 100430 102505 118690 119548 130559 149435 173470 190817 200860 205010 225511 237380 261118 298870 346940 381634 410020 451022 522236 597740 652795 763268 902044 954085 1127555 1305590 1908170 2255110 2480621 2611180 3816340 4510220 4961242 9922484 12403105 24806210 49612420