Search a number
-
+
78213372 = 22331533967
BaseRepresentation
bin1001010100101…
…11000011111100
312110011122120120
410222113003330
5130010311442
611432214540
71636542216
oct452270374
9173148516
1078213372
1140170956
122223a450
1313286103
14a55d5b6
156cee4ec
hex4a970fc

78213372 has 48 divisors (see below), whose sum is σ = 191987712. Its totient is φ = 24747840.

The previous prime is 78213371. The next prime is 78213389. The reversal of 78213372 is 27331287.

It is a super-2 number, since 2×782133722 = 12234663119220768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78213371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17733 + ... + 21699.

It is an arithmetic number, because the mean of its divisors is an integer number (3999744).

Almost surely, 278213372 is an apocalyptic number.

It is an amenable number.

78213372 is an abundant number, since it is smaller than the sum of its proper divisors (113774340).

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

78213372 is a wasteful number, since it uses less digits than its factorization.

78213372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 4056 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 78213372 is about 8843.8324271777. The cubic root of 78213372 is about 427.6551141913.

It can be divided in two parts, 78213 and 372, that multiplied together give a square (29095236 = 53942).

The spelling of 78213372 in words is "seventy-eight million, two hundred thirteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 31 53 62 93 106 124 159 186 212 318 372 636 1643 3286 3967 4929 6572 7934 9858 11901 15868 19716 23802 47604 122977 210251 245954 368931 420502 491908 630753 737862 841004 1261506 1475724 2523012 6517781 13035562 19553343 26071124 39106686 78213372