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61991748 = 2232713127149
BaseRepresentation
bin1110110001111…
…0101101000100
311022122111200200
43230132231010
5111332213443
610052410500
71351630650
oct354365504
9138574620
1061991748
1131aa1355
1218916a30
13cac6710
148339a60
155697dd3
hex3b1eb44

61991748 has 144 divisors (see below), whose sum is σ = 195686400. Its totient is φ = 16111872.

The previous prime is 61991719. The next prime is 61991753. The reversal of 61991748 is 84719916.

It is a happy number.

61991748 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

61991748 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 415978 + ... + 416126.

Almost surely, 261991748 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 61991748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97843200).

61991748 is an abundant number, since it is smaller than the sum of its proper divisors (133694652).

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

61991748 is a wasteful number, since it uses less digits than its factorization.

61991748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 301 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 61991748 is about 7873.4838540509. The cubic root of 61991748 is about 395.7716007688.

The spelling of 61991748 in words is "sixty-one million, nine hundred ninety-one thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 127 149 156 182 234 252 254 273 298 364 381 447 468 508 546 596 762 819 889 894 1043 1092 1143 1341 1524 1638 1651 1778 1788 1937 2086 2286 2667 2682 3129 3276 3302 3556 3874 4172 4572 4953 5334 5364 5811 6258 6604 7748 8001 9387 9906 10668 11557 11622 12516 13559 14859 16002 17433 18774 18923 19812 23114 23244 27118 29718 32004 34671 34866 37548 37846 40677 46228 54236 56769 59436 69342 69732 75692 81354 104013 113538 122031 132461 138684 162708 170307 208026 227076 244062 245999 264922 340614 397383 416052 488124 491998 529844 681228 737997 794766 983996 1192149 1475994 1589532 1721993 2213991 2384298 2951988 3443986 4427982 4768596 5165979 6887972 8855964 10331958 15497937 20663916 30995874 61991748