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38300838436 = 227419972
BaseRepresentation
bin100011101010111010…
…000110101000100100
310122212020210012000201
4203222322012220210
51111420003312221
625332315520244
72524062520000
oct435272065044
9118766705021
1038300838436
1115274908893
12750aa59084
1337c503a813
141bd4a63700
15ee274b891
hex8eae86a24

38300838436 has 45 divisors (see below), whose sum is σ = 78232067249. Its totient is φ = 16406425392.

The previous prime is 38300838409. The next prime is 38300838461. The reversal of 38300838436 is 63483800383.

It is a happy number.

The square root of 38300838436 is 195706.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 952956900 + 37347881536 = 30870^2 + 193256^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 19178190 + ... + 19180186.

Almost surely, 238300838436 is an apocalyptic number.

38300838436 is the 195706-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38300838436

38300838436 is an abundant number, since it is smaller than the sum of its proper divisors (39931228813).

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

38300838436 is an frugal number, since it uses more digits than its factorization.

38300838436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4026 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 38300838436 in words is "thirty-eight billion, three hundred million, eight hundred thirty-eight thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 1997 2401 3994 4802 7988 9604 13979 27958 55916 97853 195706 391412 684971 1369942 2739884 3988009 4794797 7976018 9589594 15952036 19179188 27916063 55832126 111664252 195412441 390824882 781649764 1367887087 2735774174 5471548348 9575209609 19150419218 38300838436