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954100056 = 2337133711807
BaseRepresentation
bin111000110111100…
…110100101011000
32110111022022020010
4320313212211120
53423222200211
6234401401520
732433500550
oct7067464530
92414268203
10954100056
1144a623548
122276392a0
13122889060
1490a00160
1558b664a6
hex38de6958

954100056 has 128 divisors (see below), whose sum is σ = 3015290880. Its totient is φ = 244809216.

The previous prime is 954100001. The next prime is 954100079. The reversal of 954100056 is 650001459.

It is a junction number, because it is equal to n+sod(n) for n = 954099996 and 954100032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74905 + ... + 86711.

It is an arithmetic number, because the mean of its divisors is an integer number (23556960).

Almost surely, 2954100056 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 954100056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507645440).

954100056 is an abundant number, since it is smaller than the sum of its proper divisors (2061190824).

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

954100056 is a wasteful number, since it uses less digits than its factorization.

954100056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11873 (or 11869 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 954100056 is about 30888.5100967981. The cubic root of 954100056 is about 984.4597709289.

The spelling of 954100056 in words is "nine hundred fifty-four million, one hundred thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 37 39 42 52 56 74 78 84 91 104 111 148 156 168 182 222 259 273 296 312 364 444 481 518 546 728 777 888 962 1036 1092 1443 1554 1924 2072 2184 2886 3108 3367 3848 5772 6216 6734 10101 11544 11807 13468 20202 23614 26936 35421 40404 47228 70842 80808 82649 94456 141684 153491 165298 247947 283368 306982 330596 436859 460473 495894 613964 661192 873718 920946 991788 1074437 1227928 1310577 1747436 1841892 1983576 2148874 2621154 3058013 3223311 3494872 3683784 4297748 5242308 5679167 6116026 6446622 8595496 9174039 10484616 11358334 12232052 12893244 17037501 18348078 22716668 24464104 25786488 34075002 36696156 39754169 45433336 68150004 73392312 79508338 119262507 136300008 159016676 238525014 318033352 477050028 954100056