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5378976 = 253219983
BaseRepresentation
bin10100100001001110100000
3101010021120100
4110201032200
52334111401
6311142400
763502101
oct24411640
911107510
105378976
113044339
121974a00
131164435
14a003a8
15713b86
hex5213a0

5378976 has 72 divisors (see below), whose sum is σ = 16117920. Its totient is φ = 1696896.

The previous prime is 5378963. The next prime is 5378993. The reversal of 5378976 is 6798735.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4981 + ... + 5963.

It is an arithmetic number, because the mean of its divisors is an integer number (223860).

Almost surely, 25378976 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 5378976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8058960).

5378976 is an abundant number, since it is smaller than the sum of its proper divisors (10738944).

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

5378976 is a wasteful number, since it uses less digits than its factorization.

5378976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1007 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 5378976 is about 2319.2619515699. The cubic root of 5378976 is about 175.2130846548.

The spelling of 5378976 in words is "five million, three hundred seventy-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 983 1368 1824 1966 2736 2949 3932 5472 5898 7864 8847 11796 15728 17694 18677 23592 31456 35388 37354 47184 56031 70776 74708 94368 112062 141552 149416 168093 224124 283104 298832 336186 448248 597664 672372 896496 1344744 1792992 2689488 5378976