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61431048 = 2334729467
BaseRepresentation
bin1110101001010…
…1110100001000
311021121000120000
43222111310020
5111211243143
610032403000
71344104160
oct352256410
9137530500
1061431048
1131749068
12186a6460
13c95b443
1482315a0
1555d6bd3
hex3a95d08

61431048 has 160 divisors (see below), whose sum is σ = 203860800. Its totient is φ = 16910208.

The previous prime is 61431031. The next prime is 61431053. The reversal of 61431048 is 84013416.

61431048 is a `hidden beast` number, since 614 + 3 + 1 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 131311 + ... + 131777.

It is an arithmetic number, because the mean of its divisors is an integer number (1274130).

Almost surely, 261431048 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 61431048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101930400).

61431048 is an abundant number, since it is smaller than the sum of its proper divisors (142429752).

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

61431048 is a wasteful number, since it uses less digits than its factorization.

61431048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 61431048 is about 7837.7961188079. The cubic root of 61431048 is about 394.5747664390.

The spelling of 61431048 in words is "sixty-one million, four hundred thirty-one thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 81 84 87 108 116 126 162 168 174 189 203 216 232 252 261 324 348 378 406 467 504 522 567 609 648 696 756 783 812 934 1044 1134 1218 1401 1512 1566 1624 1827 1868 2088 2268 2349 2436 2802 3132 3269 3654 3736 4203 4536 4698 4872 5481 5604 6264 6538 7308 8406 9396 9807 10962 11208 12609 13076 13543 14616 16443 16812 18792 19614 21924 25218 26152 27086 29421 32886 33624 37827 39228 40629 43848 50436 54172 58842 65772 75654 78456 81258 88263 94801 100872 108344 117684 121887 131544 151308 162516 176526 189602 235368 243774 264789 284403 302616 325032 353052 365661 379204 487548 529578 568806 706104 731322 758408 853209 975096 1059156 1096983 1137612 1462644 1706418 2118312 2193966 2275224 2559627 2925288 3412836 4387932 5119254 6825672 7678881 8775864 10238508 15357762 20477016 30715524 61431048