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78485040 = 24325611787
BaseRepresentation
bin1001010110110…
…01011000110000
312110200110020100
410223121120300
5130043010130
611442112400
71642053234
oct453313060
9173613210
1078485040
1140336a77
122234b700
131334c96a
14a5d05c4
156d54c60
hex4ad9630

78485040 has 120 divisors (see below), whose sum is σ = 268049808. Its totient is φ = 20574720.

The previous prime is 78485027. The next prime is 78485053. The reversal of 78485040 is 4058487.

It is an interprime number because it is at equal distance from previous prime (78485027) and next prime (78485053).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 78484986 and 78485004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43027 + ... + 44813.

Almost surely, 278485040 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 78485040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134024904).

78485040 is an abundant number, since it is smaller than the sum of its proper divisors (189564768).

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

78485040 is a wasteful number, since it uses less digits than its factorization.

78485040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 78485040 is about 8859.1782914670. The cubic root of 78485040 is about 428.1496841576.

The spelling of 78485040 in words is "seventy-eight million, four hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 61 72 80 90 120 122 144 180 183 240 244 305 360 366 488 549 610 720 732 915 976 1098 1220 1464 1787 1830 2196 2440 2745 2928 3574 3660 4392 4880 5361 5490 7148 7320 8784 8935 10722 10980 14296 14640 16083 17870 21444 21960 26805 28592 32166 35740 42888 43920 53610 64332 71480 80415 85776 107220 109007 128664 142960 160830 214440 218014 257328 321660 327021 428880 436028 545035 643320 654042 872056 981063 1090070 1286640 1308084 1635105 1744112 1962126 2180140 2616168 3270210 3924252 4360280 4905315 5232336 6540420 7848504 8720560 9810630 13080840 15697008 19621260 26161680 39242520 78485040